A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE

URN to cite this document:: urn:nbn:de:bvb:355-epub-541209
DOI to cite this document:: 10.5283/epub.54120

Hogadi, Amit ; Yadav, Suraj

License: Creative Commons Attribution 4.0
PDF - Published Version
(335kB)

Date of publication of this fulltext: 03 May 2023 10:26

Alternative links to fulltext:DOI Publisher

Details

Preview

Indexed in

Export bibliographical data

Abstract

In this note, we prove that the moduli stack of vector bundles on a curve with a fixed determinant is A(1)-connected. We obtain this result by classifying vector bundles on a curve up to A(1) concordance. Consequently, we classify P-n-bundles on a curve up to A(1)-weak equivalence, extending a result in [3] of Asok-Morel. We also give an explicit example of a variety which is A(1)-h-cobordant to ...