On the finiteness of rational curves on quintic threefolds
Sheldon Katz (1986)
Compositio Mathematica
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Sheldon Katz (1986)
Compositio Mathematica
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Marc N. Levine, V. Srinivas (1984)
Compositio Mathematica
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Ziv Ran (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We compute the number of irreducible rational curves of given degree with 1 tacnode in or 1 node in meeting an appropriate generic collection of points and lines. As a byproduct, we also compute the number of rational plane curves of degree passing through given points and tangent to a given line. The method is ‘classical’, free of Quantum Cohomology.
Atanas Iliev (1994)
Compositio Mathematica
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J. P. Murre (1972)
Compositio Mathematica
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Torsten Ekedahl (1988)
Publications Mathématiques de l'IHÉS
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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.