Search Results - "Cogolludo Agustín, José Ignacio"

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  1. 1

    Triangular curves and cyclotomic Zariski tuples by Artal Bartolo, Enrique, Cogolludo-Agustín, José Ignacio, Martín-Morales, Jorge

    Published in Collectanea mathematica (Barcelona) (01-09-2020)
    “…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

    Published in European journal of mathematics (01-09-2020)
    “…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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  3. 3

    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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  4. 4

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

    Published in Duke mathematical journal (01-06-2003)
    “…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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    On the Sigma-invariants of even Artin groups of FC-type by Blasco-García, Rubén, Cogolludo-Agustín, José Ignacio, Martínez-Pérez, Conchita

    Published in Journal of pure and applied algebra (01-07-2022)
    “…In this paper we study Sigma-invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a…”
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    Duality for Poincaré series of surfaces and delta invariant of curves by Cogolludo-Agustín, José Ignacio, László, Tamás, Martín-Morales, Jorge, Némethi, András

    Published in Research in the mathematical sciences (01-09-2024)
    “…In this article we study the delta invariant of reduced curve germs via topological techniques. We describe an explicit connection between the delta invariant…”
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  9. 9

    On the topology of fiber-type curves: a Zariski pair of affine nodal curves by Cogolludo-Agustín, José Ignacio, Elduque, Eva

    Published 12-06-2023
    “…In this paper we explore conditions for a curve in a smooth projective surface to have a free product of cyclic groups as the fundamental group of its…”
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    The Effectiveness of Teaching Geometry to Enhance Mathematical Understanding in Children with Down Syndrome by Gil Clemente, María Elena, Cogolludo-Agustín, José Ignacio

    “…It is widely known that people with Down syndrome have difficulties transitioning from a basic understanding of counting and cardinality to more advanced…”
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  12. 12

    The correction term for the Riemann–Roch formula of cyclic quotient singularities and associated invariants by Cogolludo-Agustín, José Ignacio, Martín-Morales, Jorge

    Published in Revista matemática complutense (01-05-2019)
    “…This paper deals with the invariant R X called the RR-correction term, which appears in the Riemann–Roch and Numerical Adjunction Formulas for normal surface…”
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  13. 13

    Quasi-projective varieties whose fundamental group is a free product of cyclic groups by Cogolludo-Agustín, José Ignacio, Elduque, Eva

    Published 31-10-2022
    “…In this work we study smooth complex quasi-projective surfaces whose fundamental group is a free product of cyclic groups. In particular, we prove the…”
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  14. 14

    Cyclic coverings of rational normal surfaces which are quotients of a product of curves by Bartolo, Enrique Artal, Cogolludo-Agustín, José Ignacio, Martín-Morales, Jorge

    Published 17-03-2023
    “…This paper deals with cyclic covers of a large family of rational normal surfaces that can also be described as quotients of a product, where the factors are…”
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    Wirtinger curves, Artin groups, and hypocycloids by Artal Bartolo, Enrique, 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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  17. 17

    An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group by Artal Bartolo, Enrique, Cogolludo-Agustín, José Ignacio, Guerville-Ballé, Benoît, Marco-Buzunáriz, Miguel

    “…In a previous work, the third named author found a combinatorics of line arrangements whose realizations live in the cyclotomic group of the fifth roots of…”
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    Homology of even Artin kernels by Blasco-García, Rubén, Cogolludo-Agustín, José Ignacio, Martínez-Pérez, Conchita

    Published 23-02-2021
    “…Algebr. Geom. Topol. 22 (2022) 349-372 We explicitly compute the homology groups with coefficients in a field of characteristic zero of cocyclic subgroups or…”
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    Local invariants of minimal generic curves on rational surfaces by Cogolludo-Agustín, José Ignacio, László, Tamás, Martín-Morales, Jorge, Némethi, András

    Published 20-05-2020
    “…Let (C,0) be a reduced curve germ in a normal surface singularity (X,0). The main goal is to recover the delta invariant of the abstract curve (C,0) from the…”
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