On the birational automorphisms of varieties of general type

Christopher D. Hacon; James McKernan; Chenyang Xu

doi:10.4007/annals.2013.177.3.6

On the birational automorphisms of varieties of general type

Christopher D. Hacon
, James McKernan
, Chenyang Xu

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

77 Scopus citations

Abstract

We show that the number of birational automorphisms of a variety of general type X is bounded by c vol(X; K_X), where c is a constant that only depends on the dimension of X.

Original language	English (US)
Pages (from-to)	1077-1111
Number of pages	35
Journal	Annals of Mathematics
Volume	177
Issue number	3
DOIs	https://doi.org/10.4007/annals.2013.177.3.6
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.4007/annals.2013.177.3.6

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title = "On the birational automorphisms of varieties of general type",

abstract = "We show that the number of birational automorphisms of a variety of general type X is bounded by c vol(X; KX), where c is a constant that only depends on the dimension of X.",

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T1 - On the birational automorphisms of varieties of general type

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AU - McKernan, James

AU - Xu, Chenyang

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DO - 10.4007/annals.2013.177.3.6

M3 - Article

AN - SCOPUS:84879403422

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VL - 177

SP - 1077

EP - 1111

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 3

ER -

On the birational automorphisms of varieties of general type

Abstract

All Science Journal Classification (ASJC) codes

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