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arXiv · 1406.0092

A Converse to a Theorem on Normal Forms of Volume Forms with Respect to a Hypersurface

Konstantinos Kourliouros
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Abstract

In this note we give a positive answer to a question asked by Y. Colin de Verdière concerning the converse of the following theorem, due to A. N. Varchenko: two germs of volume forms are equivalent with respect to diffeomorphisms preserving a germ of an isolated hypersurface singularity, if their difference is the differential of a form whose restriction on the smooth part of the hypersurface is exact.

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Konstantinos Kourliouros. 2014-05-31. A Converse to a Theorem on Normal Forms of Volume Forms with Respect to a Hypersurface. https://arxiv.org/abs/1406.0092

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