dc.identifier.uri |
http://dx.doi.org/10.15488/9844 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/9901 |
|
dc.contributor.author |
Schütt, Matthias
|
|
dc.date.accessioned |
2020-05-25T08:12:44Z |
|
dc.date.available |
2020-05-25T08:12:44Z |
|
dc.date.issued |
2019 |
|
dc.identifier.citation |
Schütt, M.: Q`-cohomology projective planes and Enriques surfaces in characteristic two. In: Epijournal de Geometrie Algebrique 3 (2019), 10 |
|
dc.description.abstract |
We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but featuring novel aspects. Contracting the given rational curves, one can derive algebraic surfaces with isolated ADE-singularities and trivial canonical bundle whose Q`-cohomology equals that of a projective plane. Similar existence results are developed for classical Enriques surfaces. We also work out an application to integral models of Enriques surfaces (and K3 surfaces). |
eng |
dc.language.iso |
eng |
|
dc.publisher |
s.l. : Association de l'Épijournal de Geometrie Algebrique |
|
dc.relation.ispartofseries |
Epijournal de Geometrie Algebrique 3 (2019) |
|
dc.rights |
CC BY-SA 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-sa/4.0/ |
|
dc.subject |
Characteristic 2 |
eng |
dc.subject |
Elliptic fibration |
eng |
dc.subject |
Enriques surface |
eng |
dc.subject |
Fake projective plane |
eng |
dc.subject |
Smooth rational curve |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Q`-cohomology projective planes and Enriques surfaces in characteristic two |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
2491-6765 |
|
dc.bibliographicCitation.volume |
3 |
|
dc.bibliographicCitation.firstPage |
10 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|