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math.AC2026
Varieties of minimal degree in weighted projective space
Maya Banks, Ritvik Ramkumar
We initiate a study of varieties of minimal degree in weighted projective spaces. We call a weighted projective space divisible if fo…
math.AC2022★ 1 cited
On Rees algebras of 2-determinantal ideals
Ritvik Ramkumar, Alessio Sammartano
Let I be the ideal of minors of a 2 by n matrix of linear forms with the expected codimension. In this paper we prove that the Rees algebra of I and its special fiber ring are Cohe…
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…