4 papers
Measuring rationality of Schwede--Takagi pairs
Pat Lank, Peter McDonald, Sridhar Venkatesh
We begin by giving a derived characterization of rational singularities for pairs in the sense of Schwede--Takagi. This characterization extends a characterization of rational sing…
Measuring birational derived splinters
Timothy De Deyn, Pat Lank, Kabeer Manali-Rahul +1
This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational…
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…
Triangulated characterizations of singularities
Pat Lank, Sridhar Venkatesh
This work presents a range of triangulated characterizations for important classes of singularities such as derived splinters, rational singularities, and Du Bois singularities. An…