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math.AG2003★ 3 cited
Regularity on abelian varieties III: further applications
Giuseppe Pareschi, Mihnea Popa
In the present sequel to our previous two papers on regularity on abelian varieties, we give a number of new applications of the theory of -regularity to the study of Seshadri c…
math.AG2001
Regularity on abelian varieties II: basic results on linear series and defining equations
Giuseppe Pareschi, Mihnea Popa
This paper is mainly concerned with applying the theory of M-regularity developed in the previous math.AG/0110003 to the study of linear series given by multiples of ample line bun…
math.AG2001
Regularity on abelian varieties I
Giuseppe Pareschi, Mihnea Popa
We introduce the notion of Mukai regularity (M-regularity) for coherent sheaves on abelian varieties. The definition is based on the Fourier-Mukai transform, and in a special case…