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Multilinear morphisms between 1-motives
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Cristiana Bertolin
Published/Copyright:
November 23, 2009
Abstract
We introduce the notion of biextensions of 1-motives over an arbitrary scheme S and we define bilinear morphisms between 1-motives as isomorphism classes of such biextensions. If S is the spectrum of a field of characteristic 0, we check that these biextensions define bilinear morphisms between the realizations of 1-motives. Generalizing we obtain the notion of multilinear morphisms between 1-motives.
Received: 2007-12-20
Revised: 2008-05-16
Published Online: 2009-11-23
Published in Print: 2009-December
© Walter de Gruyter Berlin · New York 2009
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Articles in the same Issue
- Trees and mapping class groups
- The Hartogs extension theorem on (n – 1)-complete complex spaces
- On Hartogs' extension theorem on (n – 1)-complete complex spaces
- Cohomological finiteness conditions for elementary amenable groups
- The behaviour of the differential Galois group on the generic and special fibres: A Tannakian approach
- Discrete holomorphic geometry I. Darboux transformations and spectral curves
- Multilinear morphisms between 1-motives
- A short proof of the λg-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
- Unobstructedness of deformations of holomorphic maps onto Fano manifolds of Picard number 1
- Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials
- Siegel's trace problem and character values of finite groups
