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

Department of Mathematical Sciences

10 Citations (Scopus)

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
Journal	Journal fuer die Reine und Angewandte Mathematik
Volume	743
Pages (from-to)	91–131
ISSN	0075-4102
DOIs	https://doi.org/10.1515/crelle-2015-0084
Publication status	Published - 2018

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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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language = "English",

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T1 - Balanced line bundles on Fano varieties

AU - Lehmann, Brian

AU - Tanimoto, Sho

AU - Tschinkel, Yuri

PY - 2018

Y1 - 2018

N2 - 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.

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DO - 10.1515/crelle-2015-0084

M3 - Journal article

SN - 0075-4102

VL - 743

SP - 91

EP - 131

JO - Journal fuer die Reine und Angewandte Mathematik

JF - Journal fuer die Reine und Angewandte Mathematik

ER -

Balanced line bundles on Fano varieties

Abstract

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