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Title: | Perverse schobers and GKZ systems | Authors: | Spenko, Spela VAN DEN BERGH, Michel |
Issue Date: | 2022 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | ADVANCES IN MATHEMATICS, 402 , p. 108307 (Art N° 108307) | Abstract: | Perverse schobers are categorifications of perverse sheaves. In prior work we constructed a perverse schober on a partial compactification of the stringy Kahler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi symmetric representation of a reductive group. When the group is a torus the SKMS corresponds to the complement of the GKZ discriminant locus (which is a hyperplane arrangement in the quasi-symmetric case shown by Kite). We show here that a suitable variation of the perverse schober we constructed provides a categorification of the associated GKZ hypergeometric system in the case of non resonant parameters. As an intermediate result we give a description of the monodromy of such "quasi-symmetric " GKZ hypergeometric systems. (C) 2022 Elsevier Inc. All rights reserved. | Notes: | Spenko, S (corresponding author), Univ Libre Bruxelles, Dept Math, Campus Plaine,CP 213,Bld Triomphe, B-1050 Brussels, Belgium. spela.spenko@vub.be; michel.vandenbergh@uhasselt.be |
Keywords: | Perverse sheaves; Categorification; Geometric invariant theory | Document URI: | http://hdl.handle.net/1942/37580 | ISSN: | 0001-8708 | e-ISSN: | 1090-2082 | DOI: | 10.1016/j.aim.2022.108307 | ISI #: | WOS:000804982400002 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
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