JournalsdmVol. 25pp. 1011–1027

GSV-Index for Holomorphic Pfaff Systems

  • Maurício Corrêa

    Departamento de Matemática, Av. Antônio Carlos 6627, Universidade Federal de Minas Gerais, 30123-970 Belo Horizonte-MG, Brazil

  • Diogo da Silva Machado

    Departamento de Matemática, Universidade Federal de Viçosa, Avenida Peter Henry Rolfs, s/n-Campus Universitário, 36570-900 Viçosa-MG, Brazil
GSV-Index for Holomorphic Pfaff Systems cover
Download PDF

This article is published open access.

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 Poincaré problem for Pfaff systems on projectives spaces.

Cite this article

Maurício Corrêa, Diogo da Silva Machado, GSV-Index for Holomorphic Pfaff Systems. Doc. Math. 25 (2020), pp. 1011–1027

DOI 10.4171/DM/769