Search Results - "Cogolludo Agustín, José Ignacio"
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Triangular curves and cyclotomic Zariski tuples
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
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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Effective invariants of braid monodromy
Published in Transactions of the American Mathematical Society (01-01-2007)“…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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Braid monodromy and topology of plane curves
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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Homology of even Artin kernels
Published in Algebraic & geometric topology (26-04-2022)Get full text
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On the Sigma-invariants of even Artin groups of FC-type
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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7
Braid Monodromy of Algebraic Curves
Published in Annales mathématiques Blaise Pascal (2011)Get full text
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Duality for Poincaré series of surfaces and delta invariant of curves
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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On the topology of fiber-type curves: a Zariski pair of affine nodal curves
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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Computation-free presentation of the fundamental group of generic ( p,q )–torus curves
Published in Algebraic & geometric topology (01-01-2012)Get full text
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The Effectiveness of Teaching Geometry to Enhance Mathematical Understanding in Children with Down Syndrome
Published in International journal of disability, development, and education (04-03-2019)“…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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The correction term for the Riemann–Roch formula of cyclic quotient singularities and associated invariants
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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Quasi-projective varieties whose fundamental group is a free product of cyclic groups
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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Cyclic coverings of rational normal surfaces which are quotients of a product of curves
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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Module structure of the homology of right-angled Artin kernels
Published in Algebraic & geometric topology (01-01-2022)Get full text
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16
Wirtinger curves, Artin groups, and hypocycloids
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2018)“…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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An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-04-2017)“…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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Local Invariants on Quotient Singularities and a Genus Formula for Weighted Plane Curves
Published in International mathematics research notices (01-01-2014)Get full text
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Homology of even Artin kernels
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
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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