Grothendieck-Lefschetz and Noether-Lefschetz for bundles

Ravindra, G. V. and Tripathi, Amit (2021) Grothendieck-Lefschetz and Noether-Lefschetz for bundles. Proceedings of the American Mathematical Society, 149 (12). pp. 5025-5034. ISSN 0002-9939

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Abstract

We prove a mild strengthening of a theorem of Česnavičius which gives a criterion for a vector bundle on a smooth complete intersection of dimension at least 3 to split into a sum of line bundles. We also prove an analogous statement for bundles on a general complete intersection surface. ©2021 American Mathematical Society

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IITH Creators:	IITH Creators ORCiD Tripathi, Amit UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Complete intersections; Grothendieck-Lefschetz theory; Hypersurfaces; Vector bundles
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	. LibTrainee 2021
Date Deposited:	24 Aug 2022 15:11
Last Modified:	24 Aug 2022 15:11
URI:	http://raiithold.iith.ac.in/id/eprint/10293
Publisher URL:	http://doi.org/10.1090/proc/15519
OA policy:	https://v2.sherpa.ac.uk/id/publication/7810
Related URLs:	Author

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