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

Mathematics

University of Illinois at Chicago
University of Michigan, Ann Arbor
University of New Mexico
The University of Chicago

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

117 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
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

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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.",

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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

M3 - Article

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VL - 131

SP - 607

EP - 651

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 3

ER -

Restricted volumes and base loci of linear series

Abstract

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