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

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

19 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Journal fuer die Reine und Angewandte Mathematik
Vol/bind	743
Sider (fra-til)	91–131
ISSN	0075-4102
DOI	https://doi.org/10.1515/crelle-2015-0084
Status	Udgivet - 2018

Adgang til dokumentet

10.1515/crelle-2015-0084

http://arxiv.org/pdf/1409.5901Licens: Andet

Citationsformater

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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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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.

AB - 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.

U2 - 10.1515/crelle-2015-0084

DO - 10.1515/crelle-2015-0084

M3 - Journal article

VL - 743

SP - 91

EP - 131

JO - Journal fuer die Reine und Angewandte Mathematik

JF - Journal fuer die Reine und Angewandte Mathematik

SN - 0075-4102

ER -