Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties

DOI10.1216/JCA-2010-2-2-223zbMath1237.14025arXiv0906.5096OpenAlexW2963115589MaRDI QIDQ412498

Mauricio Velasco, Bernd Sturmfels

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/0906.5096

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Rational and birational maps (14E05)

Related Items (12)

Computing Cox rings ⋮ On the graph labellings arising from phylogenetics ⋮ Log Fano structures and Cox rings of blow-ups of products of projective spaces ⋮ Compactifications of character varieties and skein relations on conformal blocks ⋮ The maximum cut problem on blow-ups of multiprojective spaces ⋮ The algebra of \(\mathrm{SL}_3(\mathbb{C})\) conformal blocks ⋮ Isotropical linear spaces and valuated Delta-matroids ⋮ Valuative and geometric characterizations of Cox sheaves ⋮ On the Effective Cone of Blown-up atn+ 3 Points ⋮ Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties ⋮ Lagrangian Grassmannians and spinor varieties in characteristic two ⋮ Cox rings of cubic surfaces and Fano threefolds

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sagbi bases of Cox-Nagata rings
• Presentations of semigroup algebras of weighted trees
• The equations for the moduli space of \(n\) points on the line
• Del Pezzo surfaces and representation theory
• A characteristic free approach to invariant theory
• Applications of minor summation formulas to rectangular-shaped representations of classical groups
• The projective geometry of the Gale transform.
• Universal torsors of del Pezzo surfaces and homogeneous spaces
• Gröbner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces
• On geometry of binary symmetric models of phylogenetic trees
• Hilbert's 14th problem and Cox rings
• On the equations for universal torsors over del Pezzo surfaces
• The tropical Grassmannian

This page was built for publication: Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties