Displaying similar documents to “Morphisms, line bundles and moduli spaces in real algebraic geometry”

Relations between jacobians of modular curves of level p 2

Imin Chen, Bart De Smit, Martin Grabitz (2004)

Journal de Théorie des Nombres de Bordeaux

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We derive a relation between induced representations on the group GL 2 ( ℤ / p 2 ℤ ) which implies a relation between the jacobians of certain modular curves of level p 2 . The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of GL 2 ( ℤ / p 2 ℤ ) .

Curves on a smooth quadric.

S. Giuffrida, R. Maggioni (2003)

Collectanea Mathematica

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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.

On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico, Claudio Fontanari (2004)

Collectanea Mathematica

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We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.