Details
| Original language | English |
|---|---|
| Pages (from-to) | 228-276 |
| Number of pages | 49 |
| Journal | Journal of algebra |
| Volume | 436 |
| Publication status | Published - 5 Aug 2015 |
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.
Keywords
- Cox rings, Cubic surfaces, Fano varieties
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 436, 05.08.2015, p. 228-276.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Cox rings of cubic surfaces and Fano threefolds
AU - Derenthal, Ulrich
AU - Hausen, Jürgen
AU - Heim, Armand
AU - Keicher, Simon
AU - Laface, Antonio
N1 - Funding information: The first, second and fourth author were supported by the DFG Priority Program SPP 1489 . The fifth author was partially supported by Proyecto FONDECYT Regular N. 1150732 . The fourth and fifth author worked jointly on part of this manuscript in Concepción as funded by the DAAD (project ID: 57055392 ) and the CONICYT (project PCCI13005 ).
PY - 2015/8/5
Y1 - 2015/8/5
N2 - 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.
AB - 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.
KW - Cox rings
KW - Cubic surfaces
KW - Fano varieties
UR - http://www.scopus.com/inward/record.url?scp=84937763634&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2015.04.028
DO - 10.1016/j.jalgebra.2015.04.028
M3 - Article
AN - SCOPUS:84937763634
VL - 436
SP - 228
EP - 276
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -