Search Results - "Bartolo, Enrique Artal"

Torsion divisors of plane curves with maximal flexes and Zariski pairs by Artal Bartolo, Enrique, Bannai, Shinzo, Shirane, Taketo, Tokunaga, Hiro‐o

“…There is a close relationship between the embedded topology of complex plane curves and the (group‐theoretic) arithmetic of elliptic curves. In a recent paper,…”
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Algebraic theory of curvettes and dicriticals by ABHYANKAR, SHREERAM S., BARTOLO, ENRIQUE ARTAL

“…We relate curvettes with dicriticals…”
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Effective invariants of braid monodromy by ARTAL BARTOLO, Enrique, CARMONA RUBER, Jorge, COGOLLUDO AGUSTIN, José Ignacio

“…In this paper we construct new invariants of algebraic curves based on (not necessarily generic) braid monodromies. Such invariants are effective in the sense…”
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On fundamental groups of plane curve complements by Bartolo, Enrique Artal, Dimca, Alexandru

“…In this paper we discuss some properties of fundamental groups and Alexander polynomials of plane curves. We discuss the relationship of the non-triviality of…”
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Triangular curves and cyclotomic Zariski tuples by Artal Bartolo, Enrique, Cogolludo-Agustín, José Ignacio, Martín-Morales, Jorge

“…The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number field whose complement have the same abelian fundamental…”
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Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links by Artal Bartolo, Enrique, Cogolludo-Agustín, José Ignacio, Matei, Daniel

“…The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof solving a…”
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Module structure of the homology of right-angled Artin kernels by Artal Bartolo, Enrique, Cogolludo-Agustín, José Ignacio, López de Medrano, Santiago, Matei, Daniel

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Heegaard splittings of graph manifolds by Artal Bartolo, Enrique, Isaza Peñaloza, Simón, Marco-Buzunáriz, Miguel Á.

“…In this paper, we give a method to construct Heegaard splittings of oriented graph manifolds with orientable bases. A graph manifold is a closed 3-manifold…”
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ZARISKI PAIRS OF INDEX 19 AND MORDELL–WEIL GROUPS OF K3 SURFACES by BARTOLO, ENRIQUE ARTAL, TOKUNAGA, HIRO-O

“…We find Zariski pairs of sextics with simple singularities having maximal total Milnornumber. We also relate them to the existence of distinct Mordell--Weil…”
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Computation-free presentation of the fundamental group of generic ( p,q )–torus curves by Artal Bartolo, Enrique, Cogolludo Agustín, José Ignacio, Ortigas-Galindo, Jorge

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Braid monodromy and topology of plane curves by Artal Bartolo, Enrique, Carmona Ruber, Jorge, Cogolludo Agustín, José Ignacio

“…In this paper we prove that braid monodromy of an affine plane curve determines the topology of a related projective plane curve…”
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Zariski k-plets of rational curve arrangements and dihedral covers by Artal Bartolo, Enrique, Tokunaga, Hiro-o

“…Examples of Zariski k-plets of rational curve arrangements are given for any k. We use dihedral covers to distinguish the embeddings of the curves in the plane…”
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Fundamental groups of real arrangements and torsion in the lower central series quotients by Bartolo, Enrique Artal, Guerville-Ballé, Benoît, Viu-Sos, Juan

“…By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its…”
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Wirtinger curves, Artin groups, and hypocycloids by Bartolo, Enrique Artal, Cogolludo-Agustín, José Ignacio, Martín-Morales, Jorge

“…The computation of the fundamental group of the complement of an algebraic plane curve has been theoretically solved since Zariski-van Kampen, but actual…”
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On some conjectures about free and nearly free divisors by Bartolo, Enrique Artal, Gorrochategui, Leire, Luengo, Ignacio, Melle-Hernández, Alejandro

“…Singularities and computer algebra, 1-19, Springer, Cham, 2017 In this paper infinite families of examples of irreducible free and nearly free curves in the…”
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Cartier and Weil Divisors on Varieties with Quotient Singularities by Bartolo, Enrique Artal, Martín-Morales, Jorge, Ortigas-Galindo, Jorge

“…Internat. J. Math. 25 (2014), no. 11, 1450100, 20 pp The main goal of this paper is to show that the notions of Weil and Cartier $\mathbb{Q}$-divisors coincide…”
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Arrangements of hypersurfaces and Bestvina-Brady groups by Bartolo, Enrique Artal, Cogolludo-Agustin, Jose Ignacio, Matei, Daniel

“…Groups, Geometry and Dynamics, Volume 9, Issue 1, 2015, pp. 103-131 We show that quasi-projective Bestvina-Brady groups are fundamental groups of complements…”
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Kummer covers and braid monodromy by Bartolo, Enrique Artal, Cogolludo-Agustin, Jose I, Ortigas-Galindo, Jorge

“…J. Inst. Math. Jussieu 13 (2014), no. 3, 633-670 In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer…”
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A topological invariant of line arrangements by Bartolo, Enrique Artal, Florens, Vincent, Guerville-BallÉ, Benoît

“…Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 3, 949-968 We define a new topological invariant of line arrangements in the complex projective plane…”
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Miranda-Persson's problem on extremal elliptic K3 surfaces by ARTAL BARTOLO, Enrique, TOKUNAGA, Hiro-O, ZHANG, De-Qi

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