R. Ramkumar

activity

20142026

most citedOn the tangent space to the Hilbert scheme of points in P3

5 citations · 13 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019★ 5 cited

On the tangent space to the Hilbert scheme of points in P3

Ritvik Ramkumar, Alessio Sammartano

In this paper we study the tangent space to the Hilbert scheme $Hilb^{d} P^{3}$ , motivated by Haiman's work on $Hilb^{d} P^{2}$ and by a long-standing c…

math.AG2019

Hilbert schemes with two Borel-fixed points

Ritvik Ramkumar

We characterize Hilbert polynomials that give rise to Hilbert schemes with two Borel-fixed points and determine when the associated Hilbert schemes or their irreducible components…

math.AG2019

The Hilbert scheme of a pair of linear spaces

Ritvik Ramkumar

Let $H_{a, b}^{n}$ denote the component of the Hilbert scheme whose general point parameterizes an $a$ -plane union a $b$ -plane meeting transversely in $P^{n}$ . We sho…