Hogadi, Amit ; Yadav, Suraj (2023) A1-Connectivity of Moduli of Vector Bundles on a Curve Journal of the Institute of Mathematics of Jussieu, 23 (3). pp. 1019-1027. ISSN 1474-7480
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Official URL: https://doi.org/10.1017/S1474748023000087
Related URL: http://dx.doi.org/10.1017/S1474748023000087
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 projective bundle over P2 but does not have the structure of a projective bundle over P2, thus answering a question of Asok-Kebekus-Wendt.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| ID Code: | 141821 |
| Deposited On: | 24 Dec 2025 10:14 |
| Last Modified: | 24 Dec 2025 10:14 |
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