منابع مشابه
Abelian Varieties
This the original TEX file for my article Abelian Varieties, published as Chapter V of Arithmetic geometry (Storrs, Conn., 1984), 103–150, Springer, New York, 1986. The table of contents has been restored, some corrections have been made,1 there are minor improvements to the exposition, and an index has been added. The numbering is unchanged.
متن کاملSyzygies of Abelian Varieties
Let A be an ample line bundle on an abelian variety X (over an algebraically closed field). A theorem of Koizumi ([Ko], [S]), developing Mumford’s ideas and results ([M1]), states that if m ≥ 3 the line bundle L = A⊗m embeds X in projective space as a projectively normal variety. Moreover, a celebrated theorem of Mumford ([M2]), slightly refined by Kempf ([K4]), asserts that the homogeneous ide...
متن کاملRegularity on abelian varieties
I will introduce the notion of Mukai regularity for coherent sheaves on abelian varieties, defined via conditions on the supports of the cohomologies of Fourier-Mukai transform complexes. In a very special form, depending on the choice of a polarization, this resembles and in fact strenghtens the classical notion of Castelnuovo-Mumford regularity. The techniques are in part a generalization of ...
متن کاملPeriods of Abelian Varieties
We prove various characterizations of the period torsor of abelian varieties.
متن کاملModuli of Abelian Varieties
In this paper we generalize parts of Mumford’s theory of the equations defining abelian varieties. Using the concept of a strongly symmetric line bundle, which is weaker than Mumford’s concept of totally symmetric line bundle and is introduced here for the first time, we extend Mumford’s methods of obtaining equations to arbitrary levels and to ample strongly symmetric line bundles. The first t...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2008
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s002776300000951x