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  Admissible subcategories in derived categories of moduli of vector bundles on curves

Belmans, P., & Mukhopadhyay, S. (2019). Admissible subcategories in derived categories of moduli of vector bundles on curves. Advances in Mathematics, 351, 653-675. doi:10.1016/j.aim.2019.05.019.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-6ABA-4 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-4611-0
Genre: Journal Article

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arXiv:1807.00216.pdf (Preprint), 229KB
 
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 Creators:
Belmans, Pieter1, Author           
Mukhopadhyay, Swarnava1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: We show that the Poincaré bundle gives a fully faithful embedding from the derived category of a curve of sufficiently high genus into the derived category of its moduli space of bundles of rank $r$ with fixed determinant of degree 1.
This generalises results of Narasimhan and Fonarev–Kuznetsov for the case of rank 2, and also gives an alternative proof of known results on deformations of universal bundles. Moreover we show that a twist of the embedding, together with 2 exceptional line bundles, gives the beginning of a semiorthogonal decomposition for the derived category of the moduli space.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1807.00216
DOI: 10.1016/j.aim.2019.05.019
 Degree: -

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Title: Advances in Mathematics
  Abbreviation : Adv. Math.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 351 Sequence Number: - Start / End Page: 653 - 675 Identifier: -