Richard Santiago Zapata

De Rham Regularization, Spectral Positivity, and the Cycle Class Map in Hodge Theory

Abstract: We study the surjectivity of the rational cycle class map on compact complex projective algebraic manifolds. For any complex projective manifold $X$ and integer $p \ge 0$, the Hodge Conjecture asserts that the rational cohomology classes of type $(p,p)$, denoted $\opera...