Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Almirón, Patricio"'
Autor:
Almirón, Patricio, Schulze, Mathias
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G6, Pp 699-710 (2022)
We establish Kyoji Saito’s continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito’s notion of dominant value in the case of irreducible plane curve singularities, we find that the l
Externí odkaz:
https://doaj.org/article/23baa14a0f21498d81fa13651a3cddfa
Autor:
Almirón, Patricio
The aim of this survey is to explore complete intersection monomial curves from a contemporary perspective. The main goal is to help readers understand the intricate connections within the field and its potential applications. The properties of any m
Externí odkaz:
http://arxiv.org/abs/2411.19260
The aim of this paper is to provide an explicit basis of the miniversal deformation of a monomial curve defined by a free semigroup -- these curves make up a notable family of complete intersection monomial curves. First, we dispense a general decomp
Externí odkaz:
http://arxiv.org/abs/2310.20394
In this paper we provide some factorization theorems of the Poincar\'e series $P_C$ of a plane curve singularity $C$ depending on some key values of the semigroup of values of \(C\). These results yield an iterative computation of $P_C$ in purely alg
Externí odkaz:
http://arxiv.org/abs/2302.12079
Autor:
Almirón, Patricio
In this note we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this we are able to provide a characterization of isolated hypersurface singularities whose difference between the
Externí odkaz:
http://arxiv.org/abs/2205.12806
In this paper we characterize the value set $\Delta$ of the $R$-modules of the form $R+zR$ for the local ring $R$ associated to a germ $\xi$ of an irreducible plane curve singularity with one Puiseux pair. In the particular case of the module of K\"a
Externí odkaz:
http://arxiv.org/abs/2105.07943
We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semigroup to have negative Eliahou number in terms of its multiplicity, co
Externí odkaz:
http://arxiv.org/abs/2104.03793
Autor:
Almirón, Patricio, Schulze, Mathias
Publikováno v:
C. R. Math. Acad. Sci. Paris 360 (2022), 699-710
We establish Kyoji Saito's continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito's notion of dominant value in the case of irreducible plane curve singularities, we find that the log c
Externí odkaz:
http://arxiv.org/abs/2012.06360
The aim of this paper is to propose an extension of the Wilf conjecture to semimodules over a numerical semigroup through a new approach toward the solution of the Wilf conjecture on numerical semigroups. The key point is the introduction of a new in
Externí odkaz:
http://arxiv.org/abs/2012.01358
In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to their Wilf number. We prov
Externí odkaz:
http://arxiv.org/abs/2011.01690