Balanced line bundles on Fano varieties

Brian Lehmann, Sho Tanimoto, Yuri Tschinkel

Research output: Contribution to journalArticlepeer-review


A conjecture of Batyrev and Manin relates arithmetic properties of varieties with ample anticanonical class to geometric invariants. We analyze the geometry underlying these invariants using the Minimal Model Program and then apply our results to primitive Fano threefolds.

Original languageEnglish (US)
Pages (from-to)91-131
Number of pages41
JournalJournal fur die Reine und Angewandte Mathematik
Issue number743
StatePublished - Oct 1 2018

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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