Ir al contenido

Documat


Some defective secant varieties to osculating varieties of Veronese surfaces

  • Autores: Alessandra Bernardi, Maria Virginia Catalisano
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. 1, 2006, págs. 43-68
  • Idioma: inglés
  • Enlaces
  • Resumen
    • We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton shea sheaves es can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of spaces of instanton sheaves.

  • Referencias bibliográficas
    • B. Aldisvik, Varieties with an extremal number of degenerate higher secant varieties, J. Reine Angew. Math. 392 (1988), 16–26.
    • E. Ballico, On the secant varieties to the tangent developable of a Veronese variety, Preprint.
    • E. Ballico and C. Fontanari, On the secant varieties to the osculating variety of a Veronese surfaces, Cent. Eur. J. Math. 1 (2003), 315–326.
    • E. Ballico and C. Fontanari, A Terracini Lemma for osculating spaces with applications to Veronese surfaces, arXiv:math.AG/0406321, 16 June...
    • A. Bernardi, M.V. Catalisano, A. Gimigliano, and M. Idà, Osculating varieties of Veronesean their higher secant varieties, Canadian J. of...
    • A. Capani, G. Niesi, and L. Robbiano, CoCoA, A system for doing computations in Commutative Algebra, (Available via anonymous ftp from: cocoa.dima.unige.it).
    • M.V. Catalisano, A.V. Geramita, and A. Gimigliano, On the secant varieties to the tangential varieties of a Veronesean, Proc. Amer. Math....
    • C. Ciliberto, F. Cioffi, R. Miranda, and F. Orecchia, Bivariate Hermite interpolation and linear systems of plane curves with base fat points,...
    • L. Evain, Computing limit linear series with infinitesimal methods, arXiv:math.AG/0407143, 8 Jul 2004.
    • B. Harbourne, Problems and progress: A survey on fat points in $\mathbb{P}^2$, Queen’s Papers in Pure and Appl. Math. 123 (2002), 85–132.
    • A. Hirschowitz, La méthode d’Horace pour l’interpolation à plusieurs variables, Manuscripta Math. 50 (1985), 337–388.
    • B. Segre, Un’estensione delle varietà di Veronese ed un principio di dualità per forme algebriche I and II, Atti Accad. Naz. Lincei. Rend....
    • A. Terracini, Sulle $V\_k$ per cui la varietà degli $S\_h$ $(h+1)$-seganti ha dimensione minore dell’ordinario, Rend. Circ. Mat. Palermo...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno