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arXiv · 2102.12175

M-regularity of $\mathbb{Q}$-twisted sheaves and its application to linear systems on abelian varieties

Atsushi Ito
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Abstract

G. Pareschi and M. Popa give criterions for global generations and surjectivity of multiplication maps of global sections of coherent sheaves on abelian varieties in the theory of M-regularity. In this paper, we generalize some of their criterions via the M-regularity of $\mathbb{Q}$-twisted sheaves. As an application, we show that the M-regularity of a suitable $\mathbb{Q}$-twisted sheaf implies property $(N_p)$ and jet-ampleness for ample line bundles on abelian varieties.

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Atsushi Ito. 2021-02-24. M-regularity of $\mathbb{Q}$-twisted sheaves and its application to linear systems on abelian varieties. https://arxiv.org/abs/2102.12175

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