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arXiv · 1611.09376

GSV-index for holomorphic Pfaff Systems

Maurício Corrêa·Diogo da Silva Machado
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Abstract

In this work we introduce a GSV type index for varieties invariant by holomorphic Pfaff systems (possibly non locally decomposables) on projective manifolds. We prove a non-negativity property for the index. As an application, we prove that the non-negativity of the GSV-index gives us an obstruction to the solution of the Poincar\'e problem for Pfaff systems on projectives spaces.

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BibTeXRIS

Maurício Corrêa, Diogo da Silva Machado. 2016-11-28. GSV-index for holomorphic Pfaff Systems. https://doi.org/10.25537/dm.2020v25.1011-1027

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