MODULI SPACE OF STABLE MAPS TO PROJECTIVE SPACE VIA GIT

DOI10.1142/S0129167X10006264zbMath1191.14015arXiv0711.4929OpenAlexW1979882882MaRDI QIDQ3566778

Young-Hoon Kiem, Han-Bom Moon

Publication date: 10 June 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4929

zbMATH Keywords

geometric invariant theorymoduli spacestable mapequivariant cohomology

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Equivariant homology and cohomology in algebraic topology (55N91) Algebraic moduli problems, moduli of vector bundles (14D20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (6)

Geometry of moduli spaces of rational curves in linear sections of Grassmannian \(\mathrm{Gr}(2,5)\) ⋮ Compactified moduli spaces of rational curves in projective homogeneous varieties ⋮ Desingularization of Kontsevich's compactification of twisted cubics in \(V_5\) ⋮ Mori's program for the moduli space of conics in Grassmannian ⋮ On the space of projective curves of maximal regularity ⋮ Hecke cycles associated to rank 2 twisted Higgs bundles on a curve

Cites Work

• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Hecke correspondence, stable maps, and the Kirwan desingularization
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Cohomology pairings on singular quotients in geometric invariant theory.
• On the cohomology of stable map spaces
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Cohomology of the moduli space of Hecke cycles
• The Betti numbers of \overline{ℳ}_{0,𝓃}(𝓇,𝒹)
• Intersections of ℚ-divisors on Kontsevich’s moduli space \overline{𝕄}_{0,𝕟}(ℙ^{𝕣},𝕕) and enumerative geometry
• Geometric Invariant Theory
• Geometric invariant theory and flips

This page was built for publication: MODULI SPACE OF STABLE MAPS TO PROJECTIVE SPACE VIA GIT