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  Successive minima of line bundles

Ambro, F., & Ito, A. (2020). Successive minima of line bundles. Advances in Mathematics, 365: 107045. doi:10.1016/j.aim.2020.107045.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9973-C Version Permalink: https://hdl.handle.net/21.11116/0000-0006-9974-B
Genre: Journal Article

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arXiv:1901.09341.pdf (Preprint), 368KB
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 Creators:
Ambro, Florin1, Author           
Ito, Atsushi, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Combinatorics
 Abstract: We introduce and study the successive minima of line bundles on proper
algebraic varieties. The first (resp. last) minima are the width (resp.
Seshadri constant) of the line bundle at very general points. The volume of the
line bundle is equivalent to the product of the successive minima. For line
bundles on toric varieties, the successive minima are equivalent to the
(reciprocal of) usual successive minima of the difference of the moment
polytope.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1901.09341
URI: http://arxiv.org/abs/1901.09341
DOI: 10.1016/j.aim.2020.107045
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Title: Advances in Mathematics
  Abbreviation : Adv. Math.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 365 Sequence Number: 107045 Start / End Page: - Identifier: -