Degeneration of K3 surfaces and automorphisms - UBC Library Open Collections

BIRS Workshop Lecture Videos

Featured Collection

BIRS Workshop Lecture Videos

Degeneration of K3 surfaces and automorphisms Matsumoto, Yuya

Description

We prove that a K3 surface with an automorphism acting on the global 2-forms by a primitive $m$-th root of unity does not degenerate if $m \neq 1,2,3,4,6$ (assuming the existence of the so-called Kulikov models). To prove this we study the rationality of the actions of automorphisms on the graded quotients of the weight filtration of the $l$-adic cohomology groups.

Item Metadata

Title	Degeneration of K3 surfaces and automorphisms
Creator	Matsumoto, Yuya
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-03-13T17:30
Description	We prove that a K3 surface with an automorphism acting on the global 2-forms by a primitive $m$-th root of unity does not degenerate if $m \neq 1,2,3,4,6$ (assuming the existence of the so-called Kulikov models). To prove this we study the rationality of the actions of automorphisms on the graded quotients of the weight filtration of the $l$-adic cohomology groups.
Extent	32 minutes
Subject	Mathematics; Algebraic geometry; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Tokyo
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-09-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0355528
URI	http://hdl.handle.net/2429/63002
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Item Media

201703131730-Matsumoto_lrv.mp4 -- 170.59MB

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International