Seshadri constants via toric degenerations

Atsushi Ito

doi:10.1515/crelle-2012-0116

Seshadri constants via toric degenerations

Atsushi Ito

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

12 Citations (Scopus)

Abstract

We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimations of Seshadri constants on non-toric varieties. In particular, we investigate Seshadri constants on hypersurfaces in projective spaces and Fano 3-folds with Picard number 1 in detail.

Original language	English
Pages (from-to)	151-174
Number of pages	24
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	695
DOIs	https://doi.org/10.1515/crelle-2012-0116
Publication status	Published - Oct 1 2014
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1515/crelle-2012-0116

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title = "Seshadri constants via toric degenerations",

abstract = "We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimations of Seshadri constants on non-toric varieties. In particular, we investigate Seshadri constants on hypersurfaces in projective spaces and Fano 3-folds with Picard number 1 in detail.",

author = "Atsushi Ito",

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AB - We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimations of Seshadri constants on non-toric varieties. In particular, we investigate Seshadri constants on hypersurfaces in projective spaces and Fano 3-folds with Picard number 1 in detail.

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JF - Journal fur die Reine und Angewandte Mathematik

SN - 0075-4102

IS - 695

ER -

Seshadri constants via toric degenerations

Abstract

ASJC Scopus subject areas

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