Linearity conditions on the Jacobian ideal and logarithmic–meromorphic comparison for free divisors
نویسنده
چکیده
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting. MSC: 32C38; 14F40; 32S40
منابع مشابه
Chern Classes of Logarithmic Derivations for Free Divisors with Jacobian Ideal of Linear Type
Let X be a nonsingular variety defined over an algebraically closed field of characteristic 0, and D be a free divisor with Jacobian ideal of linear type. We compute the Chern class of the sheaf of logarithmic derivations along D and compare it with the Chern-Schwartz-MacPherson class of the hypersurface complement. Out result establishes a conjecture by Aluffi raised in [Alu12b].
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