Conformal blocks and rational normal curves

DOI10.1090/S1056-3911-2013-00601-3zbMath1279.14029arXiv1012.4835MaRDI QIDQ2857297

Noah Giansiracusa

Publication date: 1 November 2013

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4835

zbMATH Keywords

conformal blocksGale dualityGIT quotientChow quotientmoduli space of stable pointed rational curvesweighted pointed stable curves

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items

Equations for point configurations to Lie on a rational normal curve, On \(S_n\)-invariant conformal blocks vector bundles of rank one on \(\overline{M}_{0,n}\), Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\), GIT compactifications of \(M_{0,n}\) and flips, The cone of type \(A\), level 1, conformal blocks divisors, Veronese quotient models of \(\overline M_{0,n}\) and conformal blocks, Higher-Level Conformal Blocks Divisors on, A generic slice of the moduli space of line arrangements, Orbits in \((\mathbb{P}^r)^n\) and equivariant quantum cohomology, Modular Interpretation of a Non-Reductive Chow Quotient, Zariski decompositions of numerical cycle classes, Mori's program for M¯0,6 with symmetric divisors

Cites Work

• The ideal of relations for the ring of invariants of \(n\) points on the line
• The symplectic geometry of polygons in Euclidean space
• Topological aspects of Chow quotients
• Unitarity of SL(2)-conformal blocks in genus zero
• Conformal blocks and generalized theta functions
• The moduli spaces of hyperelliptic curves and binary forms
• The projective geometry of the Gale transform.
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Geometry in Grassmannians and a generalization of the dilogarithm
• Moduli spaces of weighted pointed stable curves.
• Stable configurations of linear subspaces and quotient coherent sheaves
• sln Level 1 Conformal Blocks Divisors on M̄0,n
• Chern classes of conformal blocks
• Contractible Extremal Rays on \overline{M}_{0,n}
• Forgetful linear systems on the projective space and rational normal curves over ℳ0,2nGIT
• Moduli Spaces of Stable Polygons and Symplectic Structures on $\bar{M}_{0,n}$
• Geometric Invariant Theory
• Chow quotients of Grassmannian I
• Conformal blocks, fusion rules and the Verlinde formula
• On Kapranov's description of $\ov{M}_{0,n}$ as a Chow quotient
• Nef divisors on $\M_{0,n}$ from GIT
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