Amrutiya, Sanjay and Dubey, Umesh (2015) Moduli of equivariant sheaves and Kronecker-McKay modules. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 26 (11).
![]() |
PDF
Int_Jou_Mat_26-11_1550092_2015.pdf - Published Version Restricted to Registered users only Download (458kB) | Request a copy |
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 |
---|---|
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 |
Actions (login required)
![]() |
View Item |