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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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
Publication:	INTERNATIONAL JOURNAL OF MATHEMATICS
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
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
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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