Inversion of adjunction for rational and Du Bois singularities

Inversion of adjunction for rational and Du Bois singularities

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Sándor Kovács , University of Washington
Fine Hall 401

Please note special day, time and location.   This is joint work with Karl Schwede. We prove that Du Bois singularities are invariant under small deformation and that the relationship of the notions of rational and Du Bois singularities resembles that of canonical and log canonical varieties. In particular if a member of a family has Du Bois singularities, then the total space of the family has rational singularities near the given fiber.