Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Enrique Artal"'
Reduced power series in two variables with coefficients in a field of characteristic zero satisfy a well-known formula that relates a codimension related to the normalization of a ring and the jacobian ideal. In the general case Deligne proved that t
Externí odkaz:
http://arxiv.org/abs/2409.13520
The goal of this work is to study the smoothings of singular coaxial intersections of ellipsoids (where coaxial includes concentric) with generic singularities, with special attention to the 3-dimensional case.
Externí odkaz:
http://arxiv.org/abs/2403.20286
Autor:
Bartolo, Enrique Artal
We study the existence of some irreducible projective plane curves of degree~$8$ with some prescribed topological type of singularities in the algebraic and symplectic worlds.
Comment: Some minor corrections
Comment: Some minor corrections
Externí odkaz:
http://arxiv.org/abs/2312.06003
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 cyclic covers of algebraic curves. We use a generalization of Esnault-Viehweg method to show
Externí odkaz:
http://arxiv.org/abs/2303.09895
Autor:
Bartolo, Enrique Artal, Wahl, Jonathan
It is known (Stipsicz-Szab\'o-Wahl) that there are exactly three triply-infinite and seven singly-infinite families of weighted homogeneous normal surface singularities admitting a rational homology disk ($\mathbb{Q}$HD) smoothing, i.e., having a Mil
Externí odkaz:
http://arxiv.org/abs/2108.09209
Autor:
Alanís-López, Lilia, Bartolo, Enrique Artal, Bonatti, Christian, Gómez-Mont, Xavier, Villa, Manuel González, Cuadrado, Pablo Portilla
We study the nilpotent part $N'$ of a pseudo-periodic automorphism $h$ of a real oriented surface with boundary $\Sigma$. We associate a quadratic form $Q$ defined on the first homology group (relative to the boundary) of the surface $\Sigma$. Using
Externí odkaz:
http://arxiv.org/abs/2011.12332
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 group, but are non-homeomorphic. In particular, for any $d>3$ we find Zariski tuples paramet
Externí odkaz:
http://arxiv.org/abs/1904.09305
We show some examples of topological zeta functions associated to an isolated plane curve singular point and an allowed, in the sense of N\'emethi and Veys, differential form that have several poles of order two. This is in contrast to the case of th
Externí odkaz:
http://arxiv.org/abs/1902.09815
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:
http://arxiv.org/abs/1803.04545
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:
http://arxiv.org/abs/1802.07213