Perverse sheaves on semi-abelian varieties -- a survey of properties and applications
| Autor: | Botong Wang, Yongqiang Liu, Laurentiu Maxim |
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| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
General Mathematics Duality (mathematics) Algebraic geometry Type (model theory) 01 natural sciences Mathematics::Algebraic Topology Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology 0101 mathematics Abelian group Algebraic number Mathematics::Symplectic Geometry Algebraic Geometry (math.AG) Mathematics 32S60 14F17 14F05 55N25 Homotopy 010102 general mathematics Mathematics::Geometric Topology Cohomology 010307 mathematical physics Semi-abelian variety Perverse sheaf Mellin transformation Cohomology jump loci Albanese map Generic vanishing Abelian duality space |
| Zdroj: | BIRD: BCAM's Institutional Repository Data instname |
| DOI: | 10.48550/arxiv.1902.05430 |
| Popis: | We survey recent developments in the study of perverse sheaves on semi-abelian varieties. As concrete applications, we discuss various obstructions on the homotopy type of complex algebraic manifolds (expressed in terms of their cohomology jump loci), homological duality properties of complex algebraic manifolds, as well as new topological characterizations of semi-abelian varieties. Comment: Dedicated to the memory of Prof. Stefan Papadima. arXiv admin note: text overlap with arXiv:1804.05014 |
| Databáze: | OpenAIRE |
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