Boundedness of moduli of varieties of general type

C. D. Hacon; J. McKernan; C. Xu

doi:10.4171/JEMS/778

Boundedness of moduli of varieties of general type

C. D. Hacon, J. McKernan, C. Xu

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

42 Scopus citations

Abstract

We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.

Original language	English (US)
Pages (from-to)	865-901
Number of pages	37
Journal	Journal of the European Mathematical Society
Volume	20
Issue number	4
DOIs	https://doi.org/10.4171/JEMS/778
State	Published - 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Abundance
Boundedness
General type
Minimal model program
Moduli

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10.4171/JEMS/778

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title = "Boundedness of moduli of varieties of general type",

abstract = "We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.",

keywords = "Abundance, Boundedness, General type, Minimal model program, Moduli",

author = "Hacon, {C. D.} and J. McKernan and C. Xu",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society 2018.",

year = "2018",

doi = "10.4171/JEMS/778",

language = "English (US)",

volume = "20",

pages = "865--901",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

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T1 - Boundedness of moduli of varieties of general type

AU - Hacon, C. D.

AU - McKernan, J.

AU - Xu, C.

N1 - Publisher Copyright: © European Mathematical Society 2018.

PY - 2018

Y1 - 2018

N2 - We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.

AB - We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.

KW - Abundance

KW - Boundedness

KW - General type

KW - Minimal model program

KW - Moduli

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DO - 10.4171/JEMS/778

M3 - Article

AN - SCOPUS:85044529884

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JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 4

ER -

Boundedness of moduli of varieties of general type

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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