Scott Hiatt

activity

20242026

collaborators

4 papers

math.AG2026

Cyclic covers via mixed Hodge modules

Scott Hiatt

Suppose we are given an arbitrary line bundle $L$ on a complex algebraic variety $X$ , not necessarily smooth. For a positive integer $N$ , suppose there exists a global se…

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.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

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…

Cyclic covers via mixed Hodge modules

Topology and Euler characteristics of tropical varieties

Differential forms on varieties with pre-k-rational singularities

Differential Forms and Hodge Structures on Singular Varieties

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