Publications

Preprints

  1. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    Bernstein polynomial of 2-Puiseux pairs irreducible plane curve singularities.
    Preprint available at arXiv:1611.01091 [math.AG], 2015.


  2. E. Artal, I. Luengo.
    Dicritical divisors from topology.
    11 pages, 2015.


Accepted



  1. E. Artal, L. Gorrochategui, I. Luengo, A. Melle
    On some conjectures about free and nearly free divisors
    In Singularities and Computer Algebra -- Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday, Springer. Accepted 2016. Preprint available at arXiv:1511.09254 [math.AG].


  2. E. Artal, J.I. Cogolludo.
    Some open questions on arithmetic Zariski pairs.
    In Singularities in Geometry, Topology, Foliations and Dynamics, Birkhäuser. Accepted 2016. Preprint available at arXiv:1506.05345 [math.AG].


  3. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    Yano's conjecture for 2-Puiseux pairs irreducible plane curve singularities,
    Publ. Res. Inst. Math. Sci. Accepted, 2016. Preprint available at arXiv:1602.07248 [math.AG].


  4. E. Artal, V. Florens, and B. Guerville-Ballé.
    A topological invariant of line arrangements,
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Accepted, 2016. Preprint available at arXiv:1407.3387 [math.GT].


  5. E. Artal, J.I. Cogolludo, B. Guerville-Balléand M. Marco.
    An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group,
    R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM Accepted, 2016. Preprint available at arXiv:1507.00190 [math.AG].
    Sagemath files available at Github.


  6. E. Artal, J.I. Cogolludo, A. Libgober.
    Albanese varieties of cyclic covers of the projective plane and orbifold pencils,
    Nagoya Math. J. Accepted, 2015. Preprint available.


Published



  1. E. Artal, M.T. Lozano, S. López de Medrano.
    The dodecahedron: from intersection of quadrics to Borromean rings
    In A mathematical tribute to Professor José María Montesinos Amilibia, pages 85--103.Departamento de Geometría y Topología. UCM, Madrid, 2016.


  2. E. Artal, A. Dimca
    On fundamental groups of plane curve complements.
    Ann. Univ. Ferrara Sez. VII Sci. Mat. 61(2):255--262, 2015.
    Also available at arXiv:1507.08178 [math.AG].


  3. E. Artal, I. Luengo, A. Melle
    High-school algebra of the theory of dicritical divisors: atypical fibres for special pencils and polynomials. ,
    J. Algebra Appl. 14(9), 2015, 1540009 (26 pages), DOI 10.1142/S0219498815400095, © copyright World Scientific Publishing Company.
    Preprint available at arXiv:1408.0743 [math.AG] .


  4. E. Artal, J.I. Cogolludo, and D. Matei.
    Arrangements of hypersurfaces and Bestvina-Brady groups.
    Groups Geom. Dyn. 9(1):103--131, 2015.
    Available at arXiv:1207.0311 [math.AG].


  5. S.S. Abhyankar and E. Artal.
    Analytic theory of curvettes and dicriticals.
    Rev. Mat. Complut. 27(2):461-499, 2014,
    see also here


  6. E. Artal.
    Topology of arrangements and position of singularities.
    Ann. Fac. Sci. Toulouse Math. (6), 23(2):223-265, 2014.


  7. E. Artal, J.I. Cogolludo, and A. Libgober.
    Depth of cohomology support loci for quasi-projective varieties via orbifold pencils.
    Rev. Mat. Iberoam. 30(2):373-404, 2014.
    Available at arXiv:1205.5427 [math.AG]


  8. E. Artal, J.I. Cogolludo, and J. Ortigas.
    Kummer covers and braid monodromy.
    J. Inst. Math. Jussieu 13(3):633-670, 2014.
    Available at arXiv:1203.2663 [math.AG]


  9. E. Artal, J. Martín, and J. Ortigas.
    Cartier and Weil divisors on varieties with quotient singularities.
    Internat. J. Math. 25(11):1450100, 20, 2014.
    arXiv:1104.5628 [math.AG]


  10. E. Artal, J. Martín, and J. Ortigas.
    Intersection theory on abelian-quotient \(V\)-surfaces and \(\mathbf{Q}\)-resolutions.
    J. Singul. 8:11-30, 2014.


  11. S.S. Abhyankar and E. Artal.
    Algebraic theory of curvettes and dicriticals.
    Proc. Amer. Math. Soc. 141(12):4087-4102, 2013.


  12. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    Quasi-ordinary singularities and Newton trees.
    Mosc. Math. J. 13(3):365-398, 2013.


  13. E. Artal, J.I. Cogolludo, and D. Matei.
    Characteristic varieties of quasi-projective manifolds and orbifolds.
    Geom. Topol. 17:273-309, 2013.
    Available at arXiv:1005.4761 [math.AG]


  14. E. Artal, J.I. Cogolludo, and A. Libgober.
    Depth of characters of curve complements and orbifold pencils.
    In of the De Giorgi period in Pisa. Configuration Spaces: Geometry, Combinatorics, and Topology, volume 14 of Publications of the Scuola Normale Superiore, pages 81-109. Edizioni della Normale, Pisa, 2012.


  15. E. Artal, J.I. Cogolludo, and D. Matei.
    Orbifold groups, quasi-projectivity and covers.
    J. Singul. 5:33-47, 2012. Proceedings of the International Conference on Singularity Theory and Applications Hefei, China, July 25-31, 2011.


  16. E. Artal , J.I. Cogolludo, A. Melle.
    John Willard Milnor, Medalla Fields 1962.
    Gac. R. Soc. Mat. Esp. , 15(3):575-587, 2012.


  17. E. Artal, J.I. Cogolludo, and J. Ortigas.
    Computation-free presentation of the fundamental group of generic \((p,q)\)-torus curves.
    Algebr. Geom. Topol. 12:1265-1272, 2012.
    Available at arXiv:1201.3274 [math.AG]


  18. E. Artal, J. Martín, and J. Ortigas.
    \(\mathbf{Q}\)-resolutions and intersection numbers.
    In Monografías Matemáticas García Galdeano 37, pages 13-23. 2012.


  19. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    On \(\nu\)-quasi-ordinary power series: factorization, Newton trees and resultants.
    In Topology of algebraic varieties and singularities, volume 538 of Contemp. Math. pages 321-343. Amer. Math. Soc., Providence,RI, 2011.


  20. E. Artal, J.I. Cogolludo, and D. Matei.
    Quasi-projectivity, Artin-Tits groups, and pencil maps.
    In Topology of algebraic varieties and singularities, volume 538 of Contemp. Math. pages 113-136. Amer. Math. Soc., Providence, RI, 2011.


  21. E. Artal and V. Florens.
    Braids in Pau-an introduction.
    Ann. Math. Blaise Pascal, 18(1):1-14, 2011.


  22. E. Artal and M.T. Lozano.
    Sir Vaughan Frederick Randal Jones.
    Gac. R. Soc. Mat. Esp. 14(3):579-591, 2011.


  23. E. Artal, J. Carmona, and A. Melle.
    On a conjecture by A. Durfee.
    In Real and complex singularities, volume 380 of London Math. Soc. Lecture Note Ser. pages 1-16. Cambridge Univ. Press, Cambridge, 2010.


  24. E. Artal and J.I. Cogolludo.
    On the connection between fundamental groups and pencils with multiple fibers.
    J. Singul. 2:1-18, 2010.


  25. E. Artal, J. Fernández de Bobadilla, I. Luengo, and A. Melle.
    Milnor number of weighted-Lê-Yomdin singularities .
    Int. Math. Res. Not. IMRN, (22):4301-4318, 2010.


  26. E. Artal.
    La monodromía: a vueltas entre la topología, la geometría y el álgebra.
    Discurso de ingreso. Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza , 48 pages Zaragoza, 2009.


  27. E. Artal, J.I. Cogolludo.
    On the topology of hypocycloid curves.
    In Mathematical physics and field theory. Julio Abad, in memoriam, pages 83-98. Prensas Universitarias de Zaragoza, Zaragoza, 2009.


  28. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    On the log-canonical threshold for germs of plane curves.
    In Singularities I, volume 474 of Contemp. Math. pages 1-14. Amer. Math. Soc., Providence, RI, 2008.


  29. E. Artal, J.I. Cogolludo, and H. Tokunaga.
    A survey on Zariski pairs.
    In Algebraic geometry in East Asia--Hanoi 2005, volume 50 of Adv. Stud. Pure Math. pages 1-100. Math. Soc. Japan, Tokyo, 2008.


  30. E. Artal, J.I. Cogolludo, and H. Tokunaga.
    Pencils and infinite dihedral covers of \(\mathbb{P}^2\).
    Proc. Amer. Math. Soc. 136(1):21-29 (electronic), 2008.


  31. E. Artal, J. Carmona, and J.I. Cogolludo.
    Effective invariants of braid monodromy.
    Trans. Amer. Math. Soc. 359(1):165-183, 2007.


  32. E. Artal, J. Carmona, J.I. Cogolludo, and M. Marco.
    Invariants of combinatorial line arrangements and Rybnikov's example.
    In Singularity theory and its applications, volume 43 of Advanced Studies in Pure Mathematics. Mathematical Society of Japan, Tokyo, 2007.


  33. E. Artal, J.I. Cogolludo, and H. Tokunaga.
    Nodal degenerations of plane curves and Galois covers.
    Geom. Dedicata, 121:129-142, 2006.


  34. E. Artal, I. Luengo, and A. Melle.
    Superisolated surface singularities.
    In Singularities and computer algebra, volume 324 of London Math. Soc. Lecture Note Ser. pages 13-39. Cambridge Univ. Press, Cambridge, 2006.


  35. E. Artal, J. Carmona, J.I. Cogolludo, and M. Marco.
    Topology and combinatorics of real line arrangements.
    Compos. Math. 141(6):1578-1588, 2005.


  36. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    Quasi-ordinary power series and their zeta functions.
    Mem. Amer. Math. Soc. 178(841):vi+85, 2005.


  37. E. Artal, J. Carmona, and J.I. Cogolludo.
    Essential coordinate components of characteristic varieties.
    Math. Proc. Cambridge Philos. Soc. 136(2):287-299, 2004.


  38. E. Artal, J. Carmona, J.I. Cogolludo, M. Escario, J. Fernández de Bobadilla, I. Luengo, and A. Melle.
    Topological and arithmetical properties of rational plane curves.
    In Contribuciones Matemáticas. Homenaje a Enrique Outerelo Domínguez, pages 209-228. Editorial Complutense, Madrid, 2004.


  39. E. Artal and H. Tokunaga.
    Zariski \(k\)-plets of rational curve arrangements and dihedral covers.
    Topology Appl. 142(1-3):227-233, 2004.


  40. E. Artal, J. Carmona, and J.I. Cogolludo.
    Braid monodromy and topology of plane curves.
    Duke Math. J. 118(2):261-278, 2003.


  41. E. Artal, Pi. Cassou-Noguès, and H. Maugendre.
    Quotients jacobiens d'applications polynomiales.
    Ann. Inst. Fourier (Grenoble), 53(2):399-428, 2003.


  42. E. Artal, J. Carmona, and J.I. Cogolludo.
    On sextic curves with big Milnor number.
    In Trends in Singularities, Trends in Mathematics, pages 1-29. Birkhäuser Verlag, Basel/Switzerland, 2002.

  43. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    The Denef-Loeser zeta function is not a topological invariant.
    J. London Math. Soc. (2) 65(1):45-54, 2002.


  44. E. Artal, Pi. Cassou-Noguès, I. Luengo, and A. Melle.
    Monodromy conjecture for some surface singularities.
    Ann. Sci. École Norm. Sup. (4), 35(4):605-640, 2002.


  45. E. Artal, H. Tokunaga, and D.-Q. Zhang.
    Miranda-Persson's problem on extremal elliptic \(K3\) surfaces.
    Pacific J. Math. 202(1):37-72, 2002.


  46. E. Artal, J. Carmona, and J.I. Cogolludo.
    Representaciones finitas del grupo de trenzas, monodromías de trenzas y topología de curvas algebraicas.
    In Conferencias de EACA, 2001.


  47. E. Artal, J. Carmona, J.I. Cogolludo, and H. Tokunaga.
    Sextics with singular points in special position.
    J. Knot Theory Ramifications, 10(4):547-578, 2001.


  48. E. Artal, Pi. Cassou-Noguès, and H. Maugendre.
    Invariants topologiques d'applications polynomiales
    C. R. Acad. Sci. Paris Sér. I Math. 333(8):751-754, 2001.


  49. E. Artal, J. Carmona, J.I. Cogolludo, I. Luengo, and A. Melle.
    Fundamental group of plane curves and related invariants.
    In Mathematical contributions: volume in honor of Professor Joaquín Arregui Fernández, pages 77-104. Editorial Complutense, Madrid, 2000.


  50. E. Artal and Pi. Cassou-Noguès.
    Polynôme d'Alexander à l'infini d'un polynôme à deux variables.
    Rev. Mat. Complut. 13(2):267-285, 2000.


  51. E. Artal, I. Luengo, and A. Melle.
    On the topology of a generic fibre of a polynomial function
    Comm. Algebra, 28(4):1767-1787, 2000.


  52. E. Artal, I. Luengo, and A. Melle.
    On a conjecture of W. Veys
    Math. Ann. 317(2):325-327, 2000.


  53. E. Artal, I. Luengo, and A. Melle.
    Milnor number at infinity, topology and Newton boundary of a polynomial function
    Math. Z. 233(4):679-696, 2000.


  54. E. Artal and H. Tokunaga.
    Zariski pairs of index 19 and Mordell-Weil groups of \(K3\) surfaces
    Proc. London Math. Soc. (3), 80(1):127-144, 2000.


  55. E. Artal and J. Carmona.
    Zariski pairs, fundamental groups and Alexander polynomials
    J. Math. Soc. Japan, 50(3):521-543, 1998.


  56. E. Artal, Pi. Cassou-Noguès, and A. Dimca.
    Sur la topologie des polynômes complexes
    In Singularities (Oberwolfach, 1996), pages 317-343. Birkhäuser, Basel, 1998.


  57. E. Artal.
    Fundamental group of a class of rational cuspidal curves.
    Manuscripta Math. 93(3):273-281, 1997.


  58. E. Artal.
    A curve of degree five with non-abelian fundamental group.
    Topology Appl. 79(1):13-29, 1997.


  59. E. Artal and Pi. Cassou-Noguès.
    One remark on polynomials in two variables.
    Pacific J. Math. 176(2):297-309, 1996.


  60. E. Artal.
    Une démonstration géométrique du théorème d'Abhyankar-Moh.
    J. Reine Angew. Math. 464:97-108, 1995.


  61. E. Artal.
    Sur les couples de Zariski.
    J. Algebraic Geom. 3(2):223-247, 1994.


  62. E. Artal.
    Forme de Jordan de la monodromie des singularités superisolées de surfaces.
    Mem. Amer. Math. Soc. 109(525):x+84, 1994.


  63. E. Artal.
    Combinatorics and topology of line arrangements in the complex projective plane.
    Proc. Amer. Math. Soc. 121(2):385-390, 1994.


  64. E. Artal, Pi. Cassou-Noguès, and I. Luengo.
    On polynomials whose fibers are irreducible with no critical points.
    Math. Ann. 299(3):477-490, 1994.


  65. E. Artal.
    Combinatoire et type topologique des applications polynomiales de \(\mathbb{C}^2\) dans \(\mathbb{C}\).
    Enseign. Math. (2), 39(3-4):211-224, 1993.


  66. E. Artal.
    Forme de Seifert des singularités de surface.
    C. R. Acad. Sci. Paris Sér. I Math. 313(10):689-692, 1991.


  67. E. Artal.
    Sur la monodromie des singularités superisolées.
    C. R. Acad. Sci. Paris Sér. I Math. 312(8):601-604, 1991.

Enrique Artal 2016-12-06