Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8503
Title: A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE
Authors: HOGADI, AMIT
Yadav, Suraj
Dept. of Mathematics
Keywords: 𝔸1-connectedness
Moduli of vector bundles
𝔸1-concordance
2023
Issue Date: Mar-2023
Publisher: Cambridge University Press
Citation: Journal of the Institute of Mathematics of Jussieu, 23(03).
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 a projective bundle over P-2 but does not have the structure of a projective bundle over P-2, thus answering a question of Asok-Kebekus-Wendt [2].
URI: https://doi.org/10.1017/S1474748023000087
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8503
ISSN: 1474-7480
1475-3030
Appears in Collections:JOURNAL ARTICLES

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.