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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…
math.AG2001
Divisors on and the Minimal Resolution Conjecture for points on canonical curves
Gavril Farkas, Mircea Mustata, Mihnea Popa
We formulate a conjecture on the behavior of the minimal free resolutions of sets of general points on arbitrary varieties embedded by complete linear series, in analogy with the w…