3 papers
math.AG2025
Higher direct images of dualizing sheaves III
János Kollár, Sándor J. Kovács
We show that for flat morphisms between varieties with rational singularities, the higher direct images of the structure sheaf are locally free. As a consequence, the identity comp…
math.AG2025
General base change for relative Du Bois complexes
Caleb Ji, Sándor Kovács
A partial answer is given to a question raised by Kovács and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve com…
math.AG2025
Simple criteria for higher rational singularities
Sándor Kovács, Pat Lank, Sridhar Venkatesh
This work establishes simple criteria for detecting higher rational singularities via the intersection Du Bois complex and the irrationality complex of a normal variety over the co…