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Preprints, Working Papers, ... Year : 2022

Lower bounds for Seshadri constants via successive minima of line bundles

Abstract

Given a nef and big line bundle L on a projective variety of dimension d ≥ 2, we prove that the Seshadri constant of L at a very general point is larger than (d + 1)^{1/d −1}. This slightly improves the lower bound 1/d established by Ein, Küchle and Lazarsfeld. The proof relies on the concept of successive minima for line bundles recently introduced by Ambro and Ito.
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Dates and versions

hal-03606565 , version 1 (11-03-2022)
hal-03606565 , version 2 (14-03-2022)

Identifiers

  • HAL Id : hal-03606565 , version 2

Cite

François Ballaÿ. Lower bounds for Seshadri constants via successive minima of line bundles. 2022. ⟨hal-03606565v2⟩
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