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oai:gredos.usal.es:10366/1640652025-05-06T08:45:35Zcom_10366_4146com_10366_4055com_10366_3946com_10366_3823col_10366_4147

Pablos Romo, Fernando 2025-03-05T15:58:01Z 2025-03-05T15:58:01Z 2004 2099-12-31 F. Pablos Romo, “Theta groups over extensions of abelian varieties by unipotent groups”, Mosc. Math. J., 4:2 (2004), 503–510 1609-3321, 1609-4514 http://hdl.handle.net/10366/164065 10.17323/1609-4514-2004-4-2-503-510 [EN]Let 0 → K_U → Y → X → 0 be a sequence of morphisms of algebraic groups over an algebraically closed field k, where X is an abelian variety, K_U is a unipotent, connected and commutative group scheme, and (X, π) is a geometric quotient of Y by K_U. If L is an invertible sheaf over X, in this paper we generalize to L' = π* L the notion of a theta group associated with an invertible sheaf given by D. Mumford for an abelian variety. application/pdf eng AMS. American Mathematical Society Theta group Invertible sheaf Unipotent group Abelian variety 12 Matemáticas Theta Groups over Extensions of Abelian Varieties by Unipotent Groups info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://doi.org/10.17323/1609-4514-2004-4-2-503-510 BFM2000-1327 SA27/98 info:eu-repo/semantics/closedAccess Moscow Mathematical Journal 4 2 503 510