Scott Hiatt

activity

20242026

collaborators

4 papers

math.AG2026

Topology and Euler characteristics of tropical varieties

Scott Hiatt, Connor Simpson, Botong Wang +1

We study Euler characteristics of tropical subvarieties of tropical abelian varieties. We prove that every H-regular subvariety, locally modeled on tropicalizations of sufficiently…

math.AG2026

Differential Forms and Hodge Structures on Singular Varieties

Donu Arapura, Scott Hiatt

We compare a couple of notions of differential form on singular complex algebraic varieties, and relate them to the outermost associated graded spaces of the Hodge filtration of or…

math.AG2025

Differential forms on varieties with pre- $k$ -rational singularities

Scott Hiatt

Let $X$ be a complex algebraic variety. With $Q$ -coefficients, the compactly supported cohomology groups $H_{c}^{i} (X, Q)$ and the compactly supported intersectio…

math.AG2024

Vanishing of Local Cohomology with Applications to Hodge Theory

Scott Hiatt

Let $H = ((H, F^{∙}), L)$ be a polarized variation of Hodge structure on a smooth quasi-projective variety $U .$ By M. Saito's theory of mixed Hodge modules, the vari…

Topology and Euler characteristics of tropical varieties

Differential Forms and Hodge Structures on Singular Varieties

Differential forms on varieties with pre-k-rational singularities

Vanishing of Local Cohomology with Applications to Hodge Theory

Differential forms on varieties with pre- $k$ -rational singularities