Cox rings of cubic surfaces and Fano threefolds

authored by

Ulrich Derenthal, Jürgen Hausen, Armand Heim, Simon Keicher, Antonio Laface

Abstract

We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow-ups of the projective plane at non-general configurations of six points and of three dimensional smooth Fano varieties of Picard numbers one and two.

Organisation(s)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Riemann Center for Geometry and Physics

External Organisation(s)

Eberhard Karls Universität Tübingen
Universidad de Concepcion

Type

Artikel

Journal

Journal of algebra

Volume

436

Pages

228-276

No. of pages

49

ISSN

0021-8693

Publication date

05.08.2015

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie

Electronic version(s)

https://doi.org/10.1016/j.jalgebra.2015.04.028 (Access: Offen)