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Displaying 41 – 60 of 305

On commutativity and ovals for a pair of symmetries of a Riemann surface

Ewa Kozłowska-Walania (2007)

Colloquium Mathematicae

We study the upper bounds for the total number of ovals of two symmetries of a Riemann surface of genus g, whose product has order n. We show that the natural bound coming from Bujalance, Costa, Singerman and Natanzon's original results is attained for arbitrary even n, and in case of n odd, there is a sharper bound, which is attained. We also prove that two (M-q)- and (M-q')-symmetries of a Riemann surface X of genus g commute for g ≥ q+q'+1 (by (M-q)-symmetry we understand a symmetry having g+1-q...

On conjugacy of p-gonal automorphisms of Riemann surfaces.

Grzegorz Gromadzki (2008)

Revista Matemática Complutense

On counterexamples to local-global divisibility in commutative algebraic groups

Laura Paladino (2011)

Acta Arithmetica

On cubics and quartics through a canonical curve

Christian Pauly (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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

On curves with a theta-characteristic whose space of sections has dimension 4.

Elisabetta Colombo (1994)

Mathematische Zeitschrift

On curves with natural cohomology and their deficiency modules

Giorgio Bolondi, Jean-Claude Migliore (1993)

Annales de l'institut Fourier

The minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology is studied, and conditions are given on the degrees and the ranks of the terms of this resolution.