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7 papers · 1 filter
The singularities of the principal component of the Hilbert scheme of points
Kyungyong Lee
We show that the principal component of the Hilbert scheme of 9 points in C^8 is not Cohen-Macaulay.
Duality and monodromy reducibility of -hypergeometric systems
Uli Walther
We study -hypergeometric systems in the sense of Gelfand, Kapranov and Zelevinsky under two aspects: the structure of their holonomically dual system, and reducibility…
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…
Homological Methods for Hypergeometric Families
Laura Felicia Matusevich, Ezra Miller, Uli Walther
We analyze the behavior of the holonomic rank in families of holonomic systems over complex algebraic varieties by providing homological criteria for rank-jumps in this general set…
Genus 2 mapping class groups are not Kahler
Razvan Veliche
The goal of these notes is to prove that the mapping class groups of a closed orientable surface of genus two, with punctures, are not Kähler
Simple Hironaka resolution in characteristic zero
Jaroslaw Wlodarczyk
Building upon work of Villamayor and Bierstone-Milman we give a proof of the canonical Hironaka principalization and desingularization. The idea of "homogenized ideals" introduced…