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

Belmans, Pieter; Mukhopadhyay, Swarnava

doi:10.1016/j.aim.2019.05.019

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

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

MPS-Authors

/persons/resource/persons234941

Belmans, Pieter
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons240309

Mukhopadhyay, Swarnava
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1016/j.aim.2019.05.019
(Publisher version)

https://doi.org/10.48550/arXiv.1807.00216
(Preprint)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-0004-6ABA-4

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.