Výsledky vyhledávání - "Enrique Artal Bartolo"

Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves

Autor: José Ignacio Cogolludo-Agustín, Jorge Martín-Morales, Enrique Artal Bartolo

Publikováno v: Trends in Mathematics ISBN: 9783030619572

In this work, we study a family of Cremona transformations of weighted projective planes which generalize the standard Cremona transformation of the projective plane. Starting from special plane projective curves we construct families of curves in we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::09733778db58e188b7bcdf79504eaf4f
https://doi.org/10.1007/978-3-030-61958-9_7

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Torsion divisors of plane curves with maximal flexes and Zariski pairs

Autor: Enrique Artal Bartolo, Shinzo Bannai, Taketo Shirane, Hiro‐o Tokunaga

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, we studied the topology of some arrangements of curves which include a special smooth comp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d369391aac506bf215c02c9929a2615
http://arxiv.org/abs/2005.12673

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Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients

Autor: Enrique Artal Bartolo, Juan Viu-Sos, Benoît Guerville-Ballé

Publikováno v: Zaguán. Repositorio Digital de la Universidad de Zaragoza
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By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65b9ecd62c2b14ca02ff4b399dd5e03d
http://zaguan.unizar.es/record/88226

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Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links

Autor: Daniel Matei, Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín

Publikováno v: Zaguán: Repositorio Digital de la Universidad de Zaragoza
Universidad de Zaragoza
Zaguán. Repositorio Digital de la Universidad de Zaragoza
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The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof of Papadima's question is provided on the characterization of algebraic links that have quasi-projective fu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24c2197d76b31fa7de513315b39491dd
http://zaguan.unizar.es/record/97081

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Wirtinger curves, Artin groups, and hypocycloids

Autor: José Ignacio Cogolludo-Agustín, Jorge Martín-Morales, Enrique Artal Bartolo

Publikováno v: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 112:641-656

The computation of the fundamental group of the complement of an algebraic plane curve has been theoretically solved since Zariski-van Kampen, but actual computations are usually cumbersome. In this work, we describe the notion of Wirtinger presentat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bef9ce7058f592e2db41dbb78d9e3b89
https://doi.org/10.1007/s13398-017-0437-0

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Yano's Conjecture for Two-Puiseux-Pair Irreducible Plane Curve Singularities

Autor: Enrique Artal Bartolo, Ignacio Luengo, Alejandro Melle-Hernández, Pierrette Cassou-Noguès

Publikováno v: Publications of the Research Institute for Mathematical Sciences. 53:211-239

In 1982, Tamaki Yano proposed a conjecture predicting the b-exponents of an irreducible plane curve singularity germ that is generic in its equisingularity class. In this article, we prove the conjecture for the case in which the irreducible germ has

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::788b79d18f5302d07dc79c0bcb39a3d4
https://doi.org/10.4171/prims/53-1-7

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Heegaard splittings of graph manifolds

Autor: Simón Isaza Peñaloza, Enrique Artal Bartolo, Miguel Angel Marco-Buzunariz

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 admitting only Seifert-fibered pieces in its Jaco-Shalen decomposition; for technical reasons

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff28e64b5150fa1ef4397f7d28776537
http://arxiv.org/abs/1802.07213

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Coverings of Rational Ruled Normal Surfaces

Autor: Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Jorge Martín-Morales

Publikováno v: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics ISBN: 9783319968261

In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::01b646d1c4929ec0e4a167caa249b952
https://doi.org/10.1007/978-3-319-96827-8_13

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Arrangements of hypersurfaces and Bestvina-Brady groups

Autor: Daniel Matei, José Ignacio Cogolludo-Agustín, Enrique Artal Bartolo

Publikováno v: Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname

We show that quasi-projective Bestvina-Brady groups are fundamental groups of complements to hyperplane arrangements. Furthermore we relate other normal subgroups of right-angled Artin groups to complements to arrangements of hypersurfaces. We thus o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bba3d6804f7b1d1a2fc44ec265d8202a
http://zaguan.unizar.es/record/61862

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