Cox rings of cubic surfaces and Fano threefolds

DOI10.1016/j.jalgebra.2015.04.028zbMath1336.14032arXiv1409.0799OpenAlexW1563085241MaRDI QIDQ2345564

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

Publication date: 22 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0799

zbMATH Keywords

cubic surfacesFano threefoldsCox ring

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Computational aspects of higher-dimensional varieties (14Q15) Divisors, linear systems, invertible sheaves (14C20)

Related Items (7)

On smooth Fano fourfolds of Picard number two ⋮ Spherical blow-ups of Grassmannians and Mori dream spaces ⋮ Geometric description of \(\langle 2\rangle \)-polarised Hilbert squares of generic \(K3\) surfaces ⋮ Iteration of Cox rings of klt singularities ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one ⋮ Platonic Harbourne-Hirschowitz rational surfaces ⋮ Computing automorphisms of Mori dream spaces

Uses Software

• SINGULAR
• MDSpackage
• Compcox

Cites Work

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