Automorphism group functors of algebraic superschemes Full article
| Journal |
Mathematische Zeitschrift
ISSN: 0025-5874 , E-ISSN: 1432-8232 |
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| Output data | Year: 2024, Volume: 308, Number: 1, Article number : 4, Pages count : 48 DOI: 10.1007/s00209-024-03572-y | ||||
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
The famous theorem of Matsumura–Oort states that if X is a proper scheme, then the automorphism group functor Aut(X) of X is a locally algebraic group scheme. In this paper we generalize this theorem to the category of superschemes, that is if X is a proper superscheme, then the automorphism group functor Aut(X) of X is a locally algebraic group superscheme. Moreover, we also show that if H1(X,TX) = 0, where X is the geometric counterpart of X and TX is the tangent sheaf of X, then Aut(X) is a smooth group superscheme.
Cite:
Zubkov A.N.
Automorphism group functors of algebraic superschemes
Mathematische Zeitschrift. 2024. V.308. N1. 4 :1-48. DOI: 10.1007/s00209-024-03572-y WOS Scopus РИНЦ OpenAlex
Automorphism group functors of algebraic superschemes
Mathematische Zeitschrift. 2024. V.308. N1. 4 :1-48. DOI: 10.1007/s00209-024-03572-y WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 24, 2024 |
| Accepted: | Jul 9, 2024 |
| Published print: | Jul 27, 2024 |
| Published online: | Jul 27, 2024 |
Identifiers:
| Web of science: | WOS:001281172900002 |
| Scopus: | 2-s2.0-85199757591 |
| Elibrary: | 73789728 |
| OpenAlex: | W4401047718 |
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