Mixed hodge structures on alexander modules
Web5 feb. 2024 · Motivated by the limit mixed Hodge structure on the Milnor fiber of a hypersurface singularity germ, we construct a natural mixed Hodge structure on the … Web4 feb. 2024 · We revisit the mixed Hodge structures on these Alexander modules and study their associated spectral pairs (or equivariant mixed Hodge numbers).
Mixed hodge structures on alexander modules
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WebIn previous work jointly with Geske, Maxim, and Wang, we constructed a mixed Hodge structure (MHS) on the torsion part of (one variable) Alexander modules, which …
WebAuthor: Anthony W. Knapp Publisher: Springer Science & Business Media ISBN: 1475724535 Size: 50.84 MB Format: PDF, ePub View: 4137 Get Book Disclaimer: This site does not store any files on its server.We only index and link to content provided by other sites. Book Description Lie Groups Beyond an Introduction takes the reader from the end … WebEQUIVARIANT MIXED HODGE MODULES PRAMOD N. ACHAR Abstract. These lecture notes were written to accompany the author’s talk at the workshop on \Mixed Hodge …
WebOF MIXED HODGE MODULES CHRISTIAN SCHNELL Abstract. After explaining the de nition of pure and mixed Hodge modules on complex manifolds, we describe some of Saito’s most important results and their proofs, and then discuss two simple applications of the theory. A. Introduction 1. Nature of Saito’s theory. Hodge theory on complex … WebIn mathematics, mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem yielding a …
Web19 mrt. 2016 · Mixed Hodge structures. Dimca and Libgober showed that for polynomials transversal at infinity, there exist MHS on the Alexander modules of the hypersurface …
WebLet $V$ be a degree $d$, reduced hypersurface in $\mathbb{CP}^{n+1}$, $n \geq 1$, and fix a generic hyperplane, $H$. Denote by $\mathcal{U}$ the (affine) hypersurface ... the ohoi state universityWebIn mathematics, mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem yielding a … the ohshoWebcategory of (complex) Mixed Hodge Structures MHS C, i.e., Hd(X;C) carries a bounded ascending ltration W, called the weight ltration, and two bounded descending ltrations F 1;F 2 which induce a Hodge decomposition of weight k on each graded piece grW k H d(X;C).4 A conjectural picture by C. Deninger suggests a more geometric perspective on mickey diamond paintingWeb1 dec. 2024 · To any complex algebraic variety endowed with a morphism to a complex affine torus we associate multivariable cohomological Alexander modules, and define … mickey diana and romaWeb倒不如说，mixed Hodge structure已经成为了语言，只是不太常用而已。 回到问题，斎藤盛彦的mixed Hodge module理论从何而来，又有何用？ 对每个complex algebraic … mickey diamond starrettWeb1 dec. 2024 · Abstract. In this chapter, we give a brief overview of Morihiko Saito’s theory of mixed Hodge modules, with an emphasis on concrete applications to Hodge-theoretic aspects of intersection homology. Mixed Hodge modules are extensions in the singular context of variations of mixed Hodge structures, and can be regarded, informally, as … the ohs actWebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). the ohsnap case