Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus

Hal Schenck

doi:10.1090/S0002-9939-2012-11413-3

Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus

Hal Schenck

Mathematics

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

Abstract

We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.

Original language	English (US)
Pages (from-to)	1215-1217
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2012-11413-3
State	Published - 2013

Keywords

Chow ring
Cohomology
Toric variety

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-2012-11413-3

Fingerprint Dive into the research topics of 'Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus'. Together they form a unique fingerprint.

Cite this

@article{4f3fbe2fe46c48d4a8f9df6af622df1e,

title = "Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus",

abstract = "We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.",

keywords = "Chow ring, Cohomology, Toric variety",

author = "Hal Schenck",

year = "2013",

doi = "10.1090/S0002-9939-2012-11413-3",

language = "English (US)",

volume = "141",

pages = "1215--1217",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus

AU - Schenck, Hal

PY - 2013

Y1 - 2013

N2 - We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.

AB - We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.

KW - Chow ring

KW - Cohomology

KW - Toric variety

UR - http://www.scopus.com/inward/record.url?scp=84872728162&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872728162&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2012-11413-3

DO - 10.1090/S0002-9939-2012-11413-3

M3 - Article

AN - SCOPUS:84872728162

VL - 141

SP - 1215

EP - 1217

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -

Toric Hirzebruch-Riemann-Roch via Ishida's theorem on the Todd genus

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this