Logarithmic vector fields along smooth divisors in projective spaces

2008/02/15 by Kazushi Ueda, Masahiko Yoshinaga, Ueda, Kazushi +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.0802.2133

Abstract

We show that a smooth divisor in a projective space can be reconstructed from the isomorphism class of the sheaf of logarithmic vector fields along it if and only if its defining equation is of Sebastiani-Thom type.

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