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
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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.
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Stefan Kebekus, Sándor J. Kovács (2004)
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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.
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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.