Zobrazeno 1 - 10
of 242
pro vyhledávání: '"E. Artal"'
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:
http://arxiv.org/abs/2005.12673
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 2775-2803
In this paper, we study the module structure of the homology of Artin kernels, i.e., kernels of non-resonant characters from right-angled Artin groups onto the integer numbers, the module structure being with respect to the ring $\mathbb{K}[t^{\pm 1}
Externí odkaz:
http://arxiv.org/abs/2002.00279
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:
http://arxiv.org/abs/2001.07232
Esnault-Viehweg developed the theory of cyclic branched coverings $\tilde X\to X$ of smooth surfaces providing a very explicit formula for the decomposition of $H^1(\tilde X,\mathbb{C})$ in terms of a resolution of the ramification locus. Later, the
Externí odkaz:
http://arxiv.org/abs/1912.08670
In this paper we study the embedded topology of reducible plane curves having a smooth irreducible component. In previous studies, the relation between the topology and certain torsion classes in the Picard group of degree zero of the smooth componen
Externí odkaz:
http://arxiv.org/abs/1910.06490
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:
http://arxiv.org/abs/1904.00729
In 1982, Tamaki Yano proposed a conjecture predicting how is the set of $b$-exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In 1986, Pi.~Cassou-Nogu\`es proved the conjecture for the one Puiseux
Externí odkaz:
http://arxiv.org/abs/1805.01166
Publikováno v:
Mathematical Physics and Field Theory, 1-16, Prensas Universitarias de Zaragoza, 2009
Algebraic geometry has many connections with physics: string theory, enumerative geometry, and mirror symmetry, among others. In particular, within the topological study of algebraic varieties physicists focus on aspects involving symmetry and non-co
Externí odkaz:
http://arxiv.org/abs/1703.08308
In 1982, Tamaki Yano proposed a conjecture predicting the set of b-exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In \cite{ACLM-Yano2} we proved the conjecture for the case in which the germ ha
Externí odkaz:
http://arxiv.org/abs/1611.01091
Publikováno v:
Publ. Res. Inst. Math. Sci. 53 (2017), no. 1, 211-239
In 1982, Yano proposed a conjecture predicting the $b$-exponents of an irreducible plane curve singularity which is generic in its equisingularity class. In this article we prove the conjecture for the case of two Puiseux pairs and monodromy with dis
Externí odkaz:
http://arxiv.org/abs/1602.07248