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Moduli of equivariant sheaves and Kronecker-McKay modules

Amrutiya, Sanjay and Dubey, Umesh (2015) Moduli of equivariant sheaves and Kronecker-McKay modules. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 26 (11).

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Official URL: http://dx.doi.org/10.1142/S0129167X15500925

Abstract

We extend Alvarez-Consul and King description of moduli of sheaves over projective schemes to moduli of equivariant sheaves over projective Gamma-schemes, for a finite group Gamma. We introduce the notion of Kronecker-McKay modules and construct the moduli of equivariant sheaves using a natural functor from the category of equivariant sheaves to the category of Kronecker-McKay modules. Following Alvarez-Consul and King, we also study theta functions and homogeneous co-ordinates of moduli of equivariant sheaves.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Keywords: Moduli of equivariant sheaves; representations of Kronecker-MacKay quiver
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 19 Nov 2015 04:51
Last Modified: 19 Nov 2015 04:51
URI: http://eprints.iisc.ac.in/id/eprint/52770

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