Invariant theory for and the rationality of
N. I. Shepherd-Barron (1989)
Compositio Mathematica
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Displaying similar documents to “The rationality of some moduli spaces of plane curves”
Invariant theory for and the rationality of
Arithmetic vector bundles and automorphic forms on Shimura varieties, II
Michael Harris (1986)
Compositio Mathematica
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Deformation rigidity of the rational homogeneous space associated to a long simple root
Jun-Muk Hwang, Ngaiming Mok (2002)
Annales scientifiques de l'École Normale Supérieure
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Smoothing of rational m-ropes
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe (2009)
Open Mathematics
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In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.
Are rational curves determined by tangent vectors?
Stefan Kebekus, Sándor J. Kovács (2004)
Annales de l’institut Fourier
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Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.
On the finiteness of rational curves on quintic threefolds
Sheldon Katz (1986)
Compositio Mathematica
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A computation of invariants of a rational self-map
Ekaterina Amerik (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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I prove the algebraic stability and compute the dynamical degrees of C. Voisin’s rational self-map of the variety of lines on a cubic fourfold.