The topology of the space of rational curves on a toric variety. - Appendix 1: \(\pi_ 0 Q^ X_ D\) and \(\pi_ 1Q^ X_ D\). -Appendix 2: Representation of holomorphic maps by polynomials
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Publication:1346036
DOI10.1007/BF02392803zbMath0826.14035MaRDI QIDQ1346036
Publication date: 11 May 1995
Published in: Acta Mathematica (Search for Journal in Brave)
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli of curves (algebraic) (14H10) Homotopy theory and fundamental groups in algebraic geometry (14F35)
Related Items (21)
Group actions on spaces of rational functions ⋮ The homotopy type of spaces of coprime polynomials revisited ⋮ Spaces of algebraic maps from real projective spaces to toric varieties ⋮ The functor of a smooth toric variety ⋮ The functor of a toric variety with enough invariant effective Cartier divisors ⋮ Spaces of non-resultant systems of bounded multiplicity determined by a toric variety ⋮ Spaces of holomorphic maps between complex projective spaces of degree one. ⋮ Spaces of rational loops on a real projective space ⋮ Configuration space models for spaces of maps from a Riemann surface to complex projective space ⋮ Spaces of non-degenerate maps between complex projective spaces ⋮ \(E_n\)-cell attachments and a local-to-global principle for homological stability ⋮ The topology of the space of holomorphic maps with bounded multiplicity ⋮ Moduli spaces of curves and Cox rings ⋮ Homological stability and densities of generalized configuration spaces ⋮ Problems in arithmetic topology ⋮ STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES ⋮ STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES ⋮ The topology of the space of \(J\)-holomorphic maps to \(\mathbb C\mathbb P^2\) ⋮ The homotopy type of spaces of rational curves on a toric variety ⋮ The homotopy type of the space of algebraic loops on a toric variety ⋮ Yang–Mills theory and jumping curves
Cites Work
- Unnamed Item
- Unnamed Item
- Quasifaserungen und unendliche symmetrische Produkte
- The topology of spaces of rational functions
- Torus orbits in \(G/P\)
- The topology of torus actions on symplectic manifolds. Transl. from the French by the author
- Configuration spaces of positive and negative particles
- Acyclic maps
- Algebraic cycles and homotopy theory
- The topology of spaces of coprime polynomials
- Geometry in Grassmannians and a generalization of the dilogarithm
- The functor of a smooth toric variety
- On normality of the closure of a generic torus orbit in \(G/P\)
- Introduction to Toric Varieties. (AM-131)
- ON THE SPACE OF HOLOMORPHIC MAPS FROM THE RIEMANN SPHERE TO THE QUADRIC CONE
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