Boundedness of log Calabi-Yau pairs of Fano type

Christopher D. Hacon; Chenyang Xu

doi:10.4310/MRL.2015.v22.n6.a8

Boundedness of log Calabi-Yau pairs of Fano type

Christopher D. Hacon, Chenyang Xu

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

28 Scopus citations

Abstract

We prove a boundedness result for klt pairs (X, B) such that K_X + B ≡ 0 and B is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.

Original language	English (US)
Pages (from-to)	1699-1716
Number of pages	18
Journal	Mathematical Research Letters
Volume	22
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2015.v22.n6.a8
State	Published - 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/MRL.2015.v22.n6.a8

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title = "Boundedness of log Calabi-Yau pairs of Fano type",

abstract = "We prove a boundedness result for klt pairs (X, B) such that KX + B ≡ 0 and B is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.",

author = "Hacon, {Christopher D.} and Chenyang Xu",

year = "2015",

doi = "10.4310/MRL.2015.v22.n6.a8",

language = "English (US)",

volume = "22",

pages = "1699--1716",

journal = "Mathematical Research Letters",

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AU - Hacon, Christopher D.

AU - Xu, Chenyang

PY - 2015

Y1 - 2015

N2 - We prove a boundedness result for klt pairs (X, B) such that KX + B ≡ 0 and B is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.

AB - We prove a boundedness result for klt pairs (X, B) such that KX + B ≡ 0 and B is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.

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U2 - 10.4310/MRL.2015.v22.n6.a8

DO - 10.4310/MRL.2015.v22.n6.a8

M3 - Article

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SN - 1073-2780

VL - 22

SP - 1699

EP - 1716

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

ER -

Boundedness of log Calabi-Yau pairs of Fano type

Abstract

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