4 papers
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…
Projectivity of the moduli of equidimensional branchvarieties
Daniel Halpern-Leistner, Andres Fernandez Herrero, Trevor Jones +1
We resolve an open problem posed by Alexeev-Knutson on the projectivity of the moduli of branchvarieties in the equidimensional case. As an application, we construct projective mod…
The Hilbert scheme of points on a threefold: broken Gorenstein structures and linkage
Joachim Jelisiejew, Ritvik Ramkumar, Alessio Sammartano
We investigate the Hilbert scheme of points on a smooth threefold. We introduce a notion of broken Gorenstein structure for finite schemes, and show that its existence guarantees s…
A Hilbert scheme of radius two
Ritvik Ramkumar
We give an explicit example of a Hilbert scheme whose incidence graph has radius two.