Over an infinite field K with char(K)≠2,3, we investigate smoothable Gorenstein K -points in a punctual Hilbert scheme and obtain the following results: (i) every K -point defined b
We prove the Hodge conjecture: every Hodge class on a smooth complex projective variety $X$ is an algebraic cycle. The variety is triangulated as a simplicial complex, and the discrete Laplacian on fo
# Welcome to AlgGeoBench created by PKU-DS-LAB! ## Dataset Description AlgGeoBench is a frontier math benchmark consisting of 843 8-choice problems adapted from definitions and propositions of the o
