RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Iskovskikh Seminar
September 20, 2012 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Log-canonical thresholds under torus quotients

Hendrik Suss

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Number of views:
This page:67

Abstract: The log-canonical threshold of a Fano variety $X$ is an invariant with applications in birational geometry as well as in Kahler geometry. It is defined with respect to a finite subgroup $G$ of $Aut(X)$. After chosing a maximal torus $T$ in the automorphismen group of our Fano variety $X$ we would like to reduce the computation of the log-canonical threshold on X to that of a log-canonical threshold on some torus quotient $X=X/T$. As it turns out, this works well if the following conditions are fulfilled:
(i) $G$ is contained in the normalizer of the maximal torus,
(ii) the $G$-action on the characters given by conjugation has the trivial character as its unique fixed point.
In this situation the $T$-variety is called symmetric. As an application we provide a criterion for the existence of Kahler–Einstein metrics on symmetric Fano $T$-varieties of complexity one.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017