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A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE
Hogadi, Amit und Yadav, Suraj
(2023)
A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE.
Journal of the Institute of Mathematics of Jussieu, S. 1-9.
Veröffentlichungsdatum dieses Volltextes: 03 Mai 2023 10:26
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.54120
Zusammenfassung
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 ...
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].
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| Dokumentenart | Artikel | ||||
| Titel eines Journals oder einer Zeitschrift | Journal of the Institute of Mathematics of Jussieu | ||||
| Verlag: | CAMBRIDGE UNIV PRESS | ||||
|---|---|---|---|---|---|
| Ort der Veröffentlichung: | CAMBRIDGE | ||||
| Seitenbereich: | S. 1-9 | ||||
| Datum | 20 März 2023 | ||||
| Institutionen | Mathematik | ||||
| Identifikationsnummer |
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| Stichwörter / Keywords | A(1)-HOMOTOPY; A(1)-connectedness; Moduli of vector bundles; A(1)-concordance | ||||
| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Status | Veröffentlicht | ||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||
| An der Universität Regensburg entstanden | Ja | ||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-541209 | ||||
| Dokumenten-ID | 54120 |
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