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Title: | Picard Groups of Some Quot Schemes |
Authors: | GANGOPADHYAY, CHANDRANANDAN Sebastian, Ronnie Dept. of Mathematics |
Keywords: | Parametrized Rational Curves Bundles Moduli Space Maps 2024 |
Issue Date: | Jun-2024 |
Publisher: | Oxford University Press |
Citation: | International Mathematics Research Notices, 2024(11), 9194-9217. |
Abstract: | Let C be a smooth projective curve over the field of complex numbers C of genus g(C) > 0. Let E be a locally free sheaf on C of rank r and degreee. Let Q := Quot(C/C)(E, k, d) denote the Quot scheme of quotients of E of rank k and degreed. Fork > 0 and d >> 0, we compute the Picard group of Q. |
URI: | https://doi.org/10.1093/imrn/rnae028 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9543 |
ISSN: | 1073-7928 1687-0247 |
Appears in Collections: | JOURNAL ARTICLES |
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