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math.AC2021★ 4 cited
Rational singularities of nested Hilbert schemes
Ritvik Ramkumar, Alessio Sammartano
The Hilbert scheme of points of a smooth surface is a well-studied parameter space, lying at the interface of algebraic geometry, commutative algebra, repr…
math.AG2021
The fiber-full scheme
Yairon Cid-Ruiz, Ritvik Ramkumar
We introduce the fiber-full scheme which can be seen as the parameter space that generalizes the Hilbert and Quot schemes by controlling the entire cohomological data. The fiber-fu…