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

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Abstract

In this note, we prove that the moduli stack of vector bundles on a curve with a fixed determinant is A1-connected. We obtain this result by classifying vector bundles on a curve up to A1- concordance. Consequently, we classify Pn-bundles on a curve up to A1-weak equivalence, extending a result in [3] of Asok-Morel. We also give an explicit example of a variety which is A1-h-cobordant to a ...