Quotient sheaves of algebraic supergroups are superschemes
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 ≠ 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.
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