Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7.
Iliev, Atanas, Markushevich, Dimitri (2004)
Advances in Geometry
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Iliev, Atanas, Markushevich, Dimitri (2004)
Advances in Geometry
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Sheldon Katz (1986)
Compositio Mathematica
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Christian Pauly (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We construct families of quartic and cubic hypersurfaces through a canonical curve, which are parametrized by an open subset in a grassmannian and a Flag variety respectively. Using G. Kempf’s cohomological obstruction theory, we show that these families cut out the canonical curve and that the quartics are birational (via a blowing-up of a linear subspace) to quadric bundles over the projective plane, whose Steinerian curve equals the canonical curve
Yu I. Manin (1993)
Compositio Mathematica
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Del Centina, A., Gimigliano, A. (2001)
Advances in Geometry
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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.
J. P. Murre (1972)
Compositio Mathematica
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Kiyohiko Takeuchi (1989)
Compositio Mathematica
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