Successive minima of line bundles

Florin Ambro, Atsushi Ito

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number107045
JournalAdvances in Mathematics
Publication statusPublished - May 13 2020
Externally publishedYes


  • Linear systems
  • Seshadri constants
  • Successive minima

ASJC Scopus subject areas

  • Mathematics(all)


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