Counting imaginary quadratic points via universal torsors

Derenthal, U.; Frei, C.

dc.identifier.uri	http://dx.doi.org/10.15488/2297
dc.identifier.uri	http://www.repo.uni-hannover.de/handle/123456789/2323
dc.contributor.author	Derenthal, U.
dc.contributor.author	Frei, C.
dc.date.accessioned	2017-11-17T08:34:55Z
dc.date.available	2017-11-17T08:34:55Z
dc.date.issued	2014
dc.identifier.citation	Derenthal, U.; Frei, C.: Counting imaginary quadratic points via universal torsors. In: Compositio Mathematica 150 (2014), Nr. 10, S. 1631-1678. DOI: https://doi.org/10.1112/S0010437X13007902
dc.description.abstract	A conjecture of Manin predicts the distribution of rational points on Fano varieties. We provide a framework for proofs of Manin's conjecture for del Pezzo surfaces over imaginary quadratic fields, using universal torsors. Some of our tools are formulated over arbitrary number fields. As an application, we prove Manin's conjecture over imaginary quadratic fields K for the quartic del Pezzo surface S of singularity type A3 with five lines given in double-struck PK4 by the equations x0x1 - x2x3 = x0x3 + x1x3 + x2x4 = 0. © Foundation Compositio Mathematica 2014.	eng
dc.language.iso	eng
dc.publisher	Cambridge : Cambridge University Press
dc.relation.ispartofseries	Compositio Mathematica 150 (2014), Nr. 10
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	Del pezzo surfaces	eng
dc.subject	Imaginary quadratic fields	eng
dc.subject	Manin's conjecture	eng
dc.subject	Universal torsors	eng
dc.subject.ddc	510 \| Mathematik	ger
dc.title	Counting imaginary quadratic points via universal torsors	eng
dc.type	Article
dc.type	Text
dc.relation.issn	0010-437X
dc.relation.doi	https://doi.org/10.1112/S0010437X13007902
dc.bibliographicCitation.issue	10
dc.bibliographicCitation.volume	150
dc.bibliographicCitation.firstPage	1631
dc.bibliographicCitation.lastPage	1678
dc.description.version	publishedVersion
tib.accessRights	frei zug�nglich