Displaying similar documents to “Real cohomology groups of the space of nonsingular curves of degree 5 in ℂℙ 2 ”

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.

Families of jacobian manifolds and characteristic classes of surface bundles. I

Shigeyuki Morita (1989)

Annales de l'institut Fourier

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In our previous work we have defined the notion of characteristic classes of , which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...

On cubics and quartics through a canonical curve

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