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Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio | DUKE UNIV PRESS | 2003In this paper we prove that braid monodromy of an affine plane curve determines the topology of a related projective plane curve.texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio | American Mathematical Society | 2007In this paper we construct new invariants of algebraic curves based on (not necessarily generic) braid monodromies. Such invariants are effective in the sense that their computation allows for the study of Zariski pairs of plane curves. Moreover[...]texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Austín, José Ignacio | Cambridge Philosophical Society | 2004We give an algebraic and topological interpretation of essential coordinate components of characteristic varieties and illustrate their importance with an example.texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | Editorial Complutense | 2000The article under review contains a study of the topology of a pair (P2,C), where C is an algebraic curve in the complex projective plane. The basic problem is to find invariants which are sensitive enough to distinguish many pairs, and for whic[...]texto impreso
Artal Bartolo, Enrique ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | http://www.worldscientific.com | 2015-11In this work we deal with dicritical divisors, curvettes and polynomials.These objects have been one of the main research interests of S.S. Abhyanka during his last years. In this work we provide some elementary proofs of some S.S.Abhyankar and [...]texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio ; Marco Buzunáriz, Miguel ángel | Mathematical Society of Japan | 2006Following the general strategy proposed by G.Rybnikov, we present a proof of his well-known result, that is, the existence of two arrangements of lines having the same combinatorial type, but nonisomorphic fundamental groups. To do so, the Alexa[...]texto impreso
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In this paper we show that the Euler characteristic of the generic fibre of a complex polynomial function f : C-n --> C can be easily computed using the Newton number of f. We apply this result to study polynomials with a finite number of criti[...]texto impreso
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Melle Hernández, Alejandro ; Artal Bartolo, Enrique ; Cassou-Noguès, Pierrette ; Luengo Velasco, Ignacio | Société Mathématique de France | 2002-07In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singularity of hypersurface in terms of the local Denef–Loeser zeta function of the singularities of its tangent cone. We prove the monodromy conjecture f[...]texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Melle Hernández, Alejandro | Cambridge University Press | 2010This note provides a negative answer to the following question of A. H. Durfee [Invent. Math. 28 (1975), 231–241; ]: Is it true for arbitrary polynomials F(x,y,z) having an isolated singularity at the origin that the local monodromy is of finite[...]texto impreso
In this work we show a singular K3 surface S of such that producing a counter-example to a conjecture of Veys.texto impreso
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Artal Bartolo, Enrique ; Cassou-Noguès, Pierrette ; Luengo Velasco, Ignacio ; Melle Hernández, Alejandro | American Mathematical Society | 2011The concept of ?-quasi-ordinary power series, which is a generalization of quasi-ordinary power series, was first introduced by H. Hironaka. In the paper under review, the authors study ?-quasi-ordinary power series and give a factorization theo[...]texto impreso
Artal Bartolo, Enrique ; Carmona Ruber, Jorge ; Cogolludo Agustín, José Ignacio | Birkhäuser Basel | 2002In this work we present an exhaustive description, up to projective isomorphism, of all irreducible sextic curves in ?2 having a singular point of type , A n ,n?15 n ? 15, only rational singularities and global Milnor number at least 18. Moreov[...]
