Department of Mathematics,
University of California San Diego
****************************
Math 208: Seminar in Algebraic Geometry
Andy Huchala
University of Oregon
Griffiths Residues for Smooth Hypersurfaces in Grassmannians
Abstract:
In 1958, Hirzebruch produced a generating function for the Hodge numbers of a smooth hypersurface Z in P^n, and in 1969, Griffiths produced the residue map from the space of polynomials to differential forms. If a group G acts linearly on Z, the Griffiths residue map is G-equivariant. This map allows us to describe the primitive cohomology of Z in terms of graded pieces of a particular ring — the Griffiths ring. In this talk we generalize Griffiths' construction to smooth hypersurfaces in Grassmannians Gr(k,n), assuming some mild divisibility constraints on k,n, and the degree of the hypersurface.
Host: Kiran Kedlaya
June 5, 2026
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
