Ir al contenido

Documat


Spaces of Morphisms From a Projective Space to a Toric Variety

  • Autores: Eréndira Munguía-Villanueva, Jacob Mostovoy
  • Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 48, Nº. 1, 2014, págs. 41-53
  • Idioma: inglés
  • DOI: 10.15446/recolma.v48n1.45194
  • Títulos paralelos:
    • Espacios de morfismos de un espacio proyectivo a una variedad tórica
  • Enlaces
  • Referencias bibliográficas
    • M. Adamaszek, A.Kozlowski, and K. Yamaguchi, `Spaces of Algebraic and Continuous Maps between Real Algebraic Varieties', Quart. J....
    • C. Boyer, J. Hurtubise, and J. Milgram, `Stability Theorems for Spaces of Rational Curves', Internat. J. Math. 12, (2001), 223-262.
    • R. Cohen, J. D. S. Jones, and G. Segal, `Stability for Holomorphic Spheres and Morse Theory', Contemp. Math. 258, (2000), 87-106.
    • R. Cohen, E. Lupercio, and G. Segal, `Holomorphic Spheres in Loop Groups and Bott Periodicity', Asian J. Math. 3, (1999), 801-818.
    • D. A. Cox, `The Homogeneous Coordinate Ring of a Toric Variety', J. Algebraic Geom. 4, (1995a), 17-50.
    • D. A. Cox, `The Functor of a Smooth Toric Variety', Tohoku Math. J. 47, (1995b), 251-262.
    • D. A. Cox, J. B. Little, and H. K. Schenck, Toric Varieties, Amer. Math. Soc, 2011.
    • W. Fulton, Introduction to Toric Varieties, Princeton University Press, 1993.
    • J. Gravesen, `On the Topology of Spaces of Holomorphic Maps', Acta Math. 162, (1989), 247-286.
    • M. Guest, `Topology of the Space of Absolute Minima of the Energy Functional', Amer. J. Math. 106, (1984), 21-42.
    • M. Guest, `The Topology of the Space of Rational Curves on a Toric Variety', Acta Math. 174, (1995), 119-145.
    • M. Guest, A. Kozlowski, and K. Yamaguchi, `Spaces of Polynomials with Roots of Bounded Multiplicity', Fund. Math. 161, (1999), 93-117.
    • J. Hurtubise, `Holomorphic Maps of a Riemann Surface Into a Flag Manifold', J. Diff. Geom 43, (1996), 99-118.
    • F. Kirwan, `On Spaces of Maps From Riemann Surfaces to Grassmannians and Applications to the Cohomology of Moduli of Vector Bundles',...
    • B. Mann and J. Milgram, `Some Spaces of Holomorphic Maps to Complex Grassmann Manifolds', J. Diff. Geom. 33, (1991), 301-324.
    • B. Mann and J. Milgram, `The Topology of Rational Maps to Grassmannians and a Homotopy Theoretic Proof of the Kirwan Stability Theorem',...
    • J. Mostovoy, `Spaces of Rational Loops on a Real Projective Space', Trans. Amer. Math. Soc. 353, (2001), 1959-1970.
    • J. Mostovoy, `Spaces of Rational Maps and the Stone-Weierstrass Theorem', Topology 45, (2006), 281-293.
    • J. Mostovoy, `Truncated Simplicial Resolutions and Spaces of Rational Maps', Quart. J. Math. 63, (2012), 181-187.
    • G. Segal, `The Topology of Spaces of Rational Functions', Acta Math. 143, (1979), 39-72.
    • V. A. Vassiliev, Complements of Discriminants of Smooth Maps: Topology and Applications, Vol. 98 of Translations of Mathematical Monographs,...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno