Balanced line bundles on Fano varieties

Brian Lehmann; Sho Tanimoto; Yuri Tschinkel

doi:10.1515/crelle-2015-0084

Balanced line bundles on Fano varieties

Brian Lehmann, Sho Tanimoto, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	91-131
Number of pages	41
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2018
Issue number	743
DOIs	https://doi.org/10.1515/crelle-2015-0084
State	Published - Oct 1 2018

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Balanced line bundles on Fano varieties",

abstract = "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.",

author = "Brian Lehmann and Sho Tanimoto and Yuri Tschinkel",

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JF - Journal fur die Reine und Angewandte Mathematik

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Balanced line bundles on Fano varieties

Abstract

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