Alpha-invariant of toric line bundles

Thibaut Delcroix

Annales Polonici Mathematici (2015)

  • Volume: 114, Issue: 1, page 13-27
  • ISSN: 0066-2216

Abstract

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We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.

How to cite

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Thibaut Delcroix. "Alpha-invariant of toric line bundles." Annales Polonici Mathematici 114.1 (2015): 13-27. <http://eudml.org/doc/280157>.

@article{ThibautDelcroix2015,
abstract = {We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.},
author = {Thibaut Delcroix},
journal = {Annales Polonici Mathematici},
keywords = {log canonical threshold; alpha invariant; toric line bundle; polytope},
language = {eng},
number = {1},
pages = {13-27},
title = {Alpha-invariant of toric line bundles},
url = {http://eudml.org/doc/280157},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Thibaut Delcroix
TI - Alpha-invariant of toric line bundles
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 1
SP - 13
EP - 27
AB - We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.
LA - eng
KW - log canonical threshold; alpha invariant; toric line bundle; polytope
UR - http://eudml.org/doc/280157
ER -

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