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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quotient sheaves of algebraic supergroups are superschemes

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Author(s):
Masuoka, Akira [1] ; Zubkov, Alexandr N. [2]
Total Authors: 2
Affiliation:
[1] Univ Tsukuba, Inst Math, Ibaraki 3058571 - Japan
[2] Omsk State Pedag Univ, Dept Math, Omsk 644099 - Russia
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 348, n. 1, p. 135-170, DEC 15 2011.
Web of Science Citations: 12
Abstract

To generalize some fundamental results on group schemes to the super context, we study the quotient sheaf G/H of an algebraic supergroup G by its closed supersubgroup H, in arbitrary characteristic not equal 2. Our main theorem states that G/H is a Noetherian superscheme. This together with derived results give positive answers to interesting questions posed by J. Brundan. (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 09/50981-2 - Alexandr Nikolaevich Zubkov | Omsk State Pedagogical University - Russia
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International