Zobrazeno 1 - 10
of 56
pro vyhledávání: '"BARROSO, Evelia R. GARCÍA"'
In this paper we describe the factorization of the higher order polars of a generic branch in its equisingularity class. We generalize the results of Casas-Alvero and Hefez-Hernandes-Hern\'andez to higher order polars.
Externí odkaz:
http://arxiv.org/abs/2410.11732
Let $\mathcal{F}$ be a holomorphic foliation at $p\in\mathbb{C}^2$, and $B$ be a separatrix of $\mathcal{F}$. We prove the following Dimca-Greuel type inequality $3\mu_p(\mathcal{F},B)-4\tau_p(\mathcal{F},B)+GSV_p(\mathcal{F},B)\leq 0$, where $\mu_p(
Externí odkaz:
http://arxiv.org/abs/2403.18654
Autor:
Barroso, Evelia R. García, García-García, Juan Ignacio, Sánchez, Luis José Santana, Vigneron-Tenorio, Alberto
The aim of this paper is to study the $p$-Frobenius vector of affine semigroups $S\subset \mathbb N^q$; that is, the maximum element, with respect to a graded monomial order, with at most $p$ factorizations in $S$. We produce several algorithms to co
Externí odkaz:
http://arxiv.org/abs/2311.06050
Autor:
Barroso, Evelia R. GarcÍa, GarcÍa-GarcÍa, Juan Ignacio, SÁnchez, Luis José Santana, Vigneron-Tenorio, Alberto
In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved an important inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms of the semigroup associated with the branch at infinity of a plane al
Externí odkaz:
http://arxiv.org/abs/2209.04232
Given an algebroid plane curve $f=0$ over an algebraically closed field of characteristic $p\geq 0$ we consider the Milnor number $\mu(f)$, the delta invariant $\delta(f)$ and the number $r(f)$ of its irreducible components. Put $\bar \mu(f)=2\delta(
Externí odkaz:
http://arxiv.org/abs/2207.14523
We generalize Mattei's result relative to the Brian\c{c}on-Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relationships between the Milnor and Tjurina numbers of foliations of seco
Externí odkaz:
http://arxiv.org/abs/2207.11197
We study the relationship between the Milnor and Tjurina numbers of a singular foliation $\mathcal{F}$, in the complex plane, with respect to a balanced divisor of separatrices $\mathcal{B}$ for $\mathcal{F}$. For that, we associated with $\mathcal{F
Externí odkaz:
http://arxiv.org/abs/2112.14519
We characterize nondicrital generalized curve foliations with fixed reduced separatrix. Moreover, we give suficient conditions when a plane analytic curve is its reduced separatrix. For that, we introduce a distinguished expression for a given 1-form
Externí odkaz:
http://arxiv.org/abs/2011.12452
Let $\mathcal S \subseteq \mathbb Z^m \oplus T$ be a finitely generated and reduced monoid. In this paper we develop a general strategy to study the set of elements in $\mathcal S$ having at least two factorizations of the same length, namely the ide
Externí odkaz:
http://arxiv.org/abs/2007.05567
Publikováno v:
Periodica Mathematica Hungarica 84, 321-345 (2022)
We will describe the topological type of the discriminant curve of the morphism $(\ell, f)$, where $\ell$ is a smooth curve and $f$ is an irreducible curve (branch) of multiplicity less than five or a branch that the difference between its Milnor num
Externí odkaz:
http://arxiv.org/abs/1912.05837