Reconstructing toric quiver flag varieties from a tilting bundle

Alastair Craw; James Green

doi:10.1007/s40879-017-0194-9

Reconstructing toric quiver flag varieties from a tilting bundle

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that every toric quiver flag variety Y is isomorphic to a fine moduli space of cyclic modules over the algebra End(T) for some tilting bundle T on Y. This generalises the well known fact that $\mathbb{P}^n$ can be recovered from the endomorphism algebra of $\bigoplus_{0\leq i\leq n} \mathcal{O}_{\mathbb{P}^n}(i)$.

Original language	English
Pages (from-to)	185–199
Number of pages	15
Journal	European Journal of Mathematics
Volume	4
Issue number	1
Early online date	7 Nov 2017
DOIs	https://doi.org/10.1007/s40879-017-0194-9
Publication status	Published - 1 Mar 2018

Keywords

Moduli spaces of quiver representations
Multigraded linear series
Tilting bundles

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-017-0194-9Licence: CC BY

Cite this

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Reconstructing toric quiver flag varieties from a tilting bundle

Abstract

Keywords

ASJC Scopus subject areas

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