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2 results on '"Christian Sevenheck"'

1. Linear free divisors and Frobenius manifolds.

Author

Ignacio de Gregorio, David Mond, and Christian Sevenheck

Subjects
FROBENIUS manifolds, DIVISOR theory, MATHEMATICAL proofs, MILNOR fibration, MATHEMATICAL functions
Abstract

AbstractWe study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gau??Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show that the base space of the semi-universal unfolding of such a function carries a Frobenius manifold structure. [ABSTRACT FROM AUTHOR]

Published
2009
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2. Deformation of singular lagrangian subvarieties.

Author

Christian Sevenheck and Duco van Straten

Subjects
MANIFOLDS (Mathematics), DEFORMATIONS of singularities, LAGRANGIAN functions, HOMOLOGY theory
Abstract

We investigate deformations of lagrangian manifolds with singularities. We introduce a complex similar to the de Rham-complex whose cohomology calculates deformation spaces. This cohomology turns out to be constructible in many cases. Examples of singular lagrangian varieties are presented and deformations are calculated explicitly. [ABSTRACT FROM AUTHOR]

Published
2003
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