Scott Hiatt

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20222026

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math.AG2022

Equivariant Hodge modules and rational singularities

Donu Arapura, Scott Hiatt

We define a notion of Hodge modules with rational singularities. A variety has rational singularities in the usual sense, if it is normal and the Hodge module related to intersecti…

math.AG2022

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…