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Differential operators and automorphism schemes

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Abstract

The ring of global differential operators of a variety is in closed and deep relation with its automorphism scheme. This relation can be applied to the study of homogeneous schemes, giving some criteria of homogeneity, a generalization of Serre-Lang theorem, and some consequences about abelian varieties.

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Authors and Affiliations

  1. Department of Mathematics, Capital Normal University, Beijing, 100048, China

    KeZheng Li

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  1. KeZheng Li
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Correspondence to KeZheng Li.

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Dedicated to Professor Wang Yuan on the Occasion of his 80th Birthday

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Li, K. Differential operators and automorphism schemes. Sci. China Math. 53, 2363–2380 (2010). https://doi.org/10.1007/s11425-010-4073-9

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