Affine cones over smooth cubic surfaces

Ivan Cheltsov; Jihun Park; Joonyeong Won

doi:10.4171/JEMS/622

Affine cones over smooth cubic surfaces

Ivan Cheltsov, Jihun Park, Joonyeong Won

Department of Mathematics

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

33 Scopus citations

Abstract

We show that affine cones over smooth cubic surfaces do not admit non-trivial double-struck G_a-actions.

Original language	English
Pages (from-to)	1537-1564
Number of pages	28
Journal	Journal of the European Mathematical Society
Volume	18
Issue number	7
DOIs	https://doi.org/10.4171/JEMS/622
State	Published - 2016

Bibliographical note

Publisher Copyright:
© European Mathematical Society 2016.

Keywords

Affine cone
Anticanonical divisor
Cylinder
Log canonical singularity
del Pezzo surface
double-struck G-action
α-invariant

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10.4171/JEMS/622

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title = "Affine cones over smooth cubic surfaces",

abstract = "We show that affine cones over smooth cubic surfaces do not admit non-trivial double-struck Ga-actions.",

keywords = "Affine cone, Anticanonical divisor, Cylinder, Log canonical singularity, del Pezzo surface, double-struck G-action, α-invariant",

author = "Ivan Cheltsov and Jihun Park and Joonyeong Won",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society 2016.",

year = "2016",

doi = "10.4171/JEMS/622",

language = "English",

volume = "18",

pages = "1537--1564",

journal = "Journal of the European Mathematical Society",

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TY - JOUR

T1 - Affine cones over smooth cubic surfaces

AU - Cheltsov, Ivan

AU - Park, Jihun

AU - Won, Joonyeong

N1 - Publisher Copyright: © European Mathematical Society 2016.

PY - 2016

Y1 - 2016

N2 - We show that affine cones over smooth cubic surfaces do not admit non-trivial double-struck Ga-actions.

AB - We show that affine cones over smooth cubic surfaces do not admit non-trivial double-struck Ga-actions.

KW - Affine cone

KW - Anticanonical divisor

KW - Cylinder

KW - Log canonical singularity

KW - del Pezzo surface

KW - double-struck G-action

KW - α-invariant

UR - https://www.scopus.com/pages/publications/84969811661

U2 - 10.4171/JEMS/622

DO - 10.4171/JEMS/622

M3 - Article

AN - SCOPUS:84969811661

SN - 1435-9855

VL - 18

SP - 1537

EP - 1564

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 7

ER -

Affine cones over smooth cubic surfaces

Abstract

Bibliographical note

Keywords

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Cite this