Okounkov bodies and Seshadri constants

Atsushi Ito

doi:10.1016/j.aim.2013.04.005

Okounkov bodies and Seshadri constants

Atsushi Ito

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

13 Citations (Scopus)

Abstract

Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.

Original language	English
Pages (from-to)	246-262
Number of pages	17
Journal	Advances in Mathematics
Volume	241
DOIs	https://doi.org/10.1016/j.aim.2013.04.005
Publication status	Published - Jul 2013
Externally published	Yes

Keywords

Graded linear series
Okounkov body
Seshadri constant

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1016/j.aim.2013.04.005

Cite this

@article{bacd6377fa2b417ba472a01342bd9f3b,

title = "Okounkov bodies and Seshadri constants",

abstract = "Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.",

keywords = "Graded linear series, Okounkov body, Seshadri constant",

author = "Atsushi Ito",

year = "2013",

month = jul,

doi = "10.1016/j.aim.2013.04.005",

language = "English",

volume = "241",

pages = "246--262",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Okounkov bodies and Seshadri constants

AU - Ito, Atsushi

PY - 2013/7

Y1 - 2013/7

N2 - Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.

AB - Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.

KW - Graded linear series

KW - Okounkov body

KW - Seshadri constant

UR - http://www.scopus.com/inward/record.url?scp=84877001998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877001998&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2013.04.005

DO - 10.1016/j.aim.2013.04.005

M3 - Article

AN - SCOPUS:84877001998

VL - 241

SP - 246

EP - 262

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

Okounkov bodies and Seshadri constants

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this