Zobrazeno 1 - 10
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pro vyhledávání: '"So Saito"'
We establish generalizations of Saito's criterion for the freeness of divisors in projective spaces that apply both to sequences of several homogeneous polynomials and to divisors on other complete varieties. As an application, the new criterion is a
Externí odkaz:
http://arxiv.org/abs/2407.14082
Autor:
Genzmer, Yohann, Hernandes, Marcelo E.
In this work we study the \emph{Saito number} of a plane curve and we present a method to determine the minimal Saito number for plane curves in a given equisingularity class, that gives rise to an actual algorithm. In particular situations, we also
Externí odkaz:
http://arxiv.org/abs/2406.13729
In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characterized in terms of their divisorial orders associated to the "cuspidal" di
Externí odkaz:
http://arxiv.org/abs/2404.00316
Saito gave a nice and efficient criterion to determine whether the module of logarithmic derivation associated with a reduced divisor in a complex variety is free or not. The aim of this note is to propose a new proof of this criterion, in the affine
Externí odkaz:
http://arxiv.org/abs/2402.08305
Autor:
Anamby, Pramath, Das, Soumya
In the first half of the paper, we lay down a classical approach to the study of Saito-Kurokawa (SK) lifts of (Hecke congruence) square-free level, including the allied new-oldform theory. Our treatment of this relies on a novel idea of computing ran
Externí odkaz:
http://arxiv.org/abs/2403.17401
Autor:
Sabbah, Claude
After making correct, and then improving, our definition of the category of irregular mixed Hodge modules thanks to Mochizuki's recent results arXiv:2108.03843, we show how these results allow us to obtain Kodaira-Saito-type vanishing theorems for th
Externí odkaz:
http://arxiv.org/abs/2401.00968
Autor:
Genzmer, Yohann
In this article, we prove that an algorithm introduced by the author in a previous work and giving the generic dimension of the moduli space of a germ of curve in the complex plane that is the union of smooth curves, can be used identically to find t
Externí odkaz:
http://arxiv.org/abs/2403.06587
Autor:
Rülling, Kay, Saito, Shuji
We give a new geometric characterization of the motivic ramification filtration of reciprocity sheaves, by imitating a method used by Abbes and (Takeshi) Saito to study the ramification of torsors under finite \'etale groups. This new characterizatio
Externí odkaz:
http://arxiv.org/abs/2204.10637
Autor:
Schefers, Kendric
Let $f: X \to \mathbb{A}^1$ be a regular function on a smooth complex algebraic variety $X$. We formulate and prove an equivalence between the algebraic formal twisted de Rham complex of $f$ and the vanishing cycles with respect to $f$ as objects in
Externí odkaz:
http://arxiv.org/abs/2310.09979
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