Restricted volumes and base loci of linear series

Lawrence Ein; Robert Lazarsfeld; Mircea Mustaţǎ; Michael Nakamaye; Mihnea Popa

doi:10.1353/ajm.0.0054

Restricted volumes and base loci of linear series

Lawrence Ein^*, Robert Lazarsfeld, Mircea Mustaţǎ, Michael Nakamaye, Mihnea Popa

^*Corresponding author for this work

Mathematics

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

90 Scopus citations

Abstract

We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.

Original language	English (US)
Pages (from-to)	607-651
Number of pages	45
Journal	American Journal of Mathematics
Volume	131
Issue number	3
DOIs	https://doi.org/10.1353/ajm.0.0054
State	Published - 2009

ASJC Scopus subject areas

Mathematics(all)

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10.1353/ajm.0.0054

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title = "Restricted volumes and base loci of linear series",

abstract = "We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.",

author = "Lawrence Ein and Robert Lazarsfeld and Mircea Musta{\c t}ǎ and Michael Nakamaye and Mihnea Popa",

year = "2009",

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language = "English (US)",

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AU - Ein, Lawrence

AU - Lazarsfeld, Robert

AU - Mustaţǎ, Mircea

AU - Nakamaye, Michael

AU - Popa, Mihnea

PY - 2009

Y1 - 2009

N2 - We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.

AB - We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.

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DO - 10.1353/ajm.0.0054

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EP - 651

JO - American Journal of Mathematics

JF - American Journal of Mathematics

SN - 0002-9327

IS - 3

ER -

Restricted volumes and base loci of linear series

Abstract

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