Dynamics on supersingular K3 surfaces

Schütt, M.

dc.identifier.uri	http://dx.doi.org/10.15488/2301
dc.identifier.uri	http://www.repo.uni-hannover.de/handle/123456789/2327
dc.contributor.author	Schütt, M.
dc.date.accessioned	2017-11-17T08:34:57Z
dc.date.available	2017-11-17T08:34:57Z
dc.date.issued	2016
dc.identifier.citation	Schütt, M.: Dynamics on supersingular K3 surfaces. In: Commentarii Mathematici Helvetici 91 (2016), Nr. 4, S. 705-719. DOI: https://doi.org/10.4171/CMH/400
dc.description.abstract	For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 surface of Artin invariant one which does not lift to any characteristic zero model. Our construction builds on elliptic fibrations to produce a closed formula for the automorphism's characteristic polynomial on second cohomology, which turns out to be an irreducible Salem polynomial of degree 22 with coefficients varying with p. © Swiss Mathematical Society.	eng
dc.language.iso	eng
dc.publisher	Zürich : European Mathematical Society Publishing House
dc.relation.ispartofseries	Commentarii Mathematici Helvetici 91 (2016), Nr. 4
dc.rights	Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject	Automorphism	eng
dc.subject	Elliptic fibration	eng
dc.subject	K3 surface	eng
dc.subject	Lift-ability	eng
dc.subject	Salem number	eng
dc.subject	Supersingular	eng
dc.subject.ddc	510 \| Mathematik	ger
dc.title	Dynamics on supersingular K3 surfaces
dc.type	Article
dc.type	Text
dc.relation.issn	0010-2571
dc.relation.doi	https://doi.org/10.4171/CMH/400
dc.bibliographicCitation.issue	4
dc.bibliographicCitation.volume	91
dc.bibliographicCitation.firstPage	705
dc.bibliographicCitation.lastPage	719
dc.description.version	publishedVersion
tib.accessRights	frei zug�nglich