Martin G. Gulbrandsen

activity

20052023

most citedDonaldson-Thomas invariants for complexes on abelian threefolds

8 citations · 29 across the 11 of their papers we have counts for

collaborators

13 papers

math.AG2023

Bridgeland stability conditions and skew lines on $P^{3}$

Sammy Alaoui Soulimani, Martin G. Gulbrandsen

Inspired by Schmidt's work on twisted cubics, we study wall crossings in Bridgeland stability, starting with the Hilbert scheme $Hilb^{2 m + 2} (P^{3})$ parametrizing p…

math.AG2018★ 3 cited

The geometry of degenerations of Hilbert schemes of points

Martin G. Gulbrandsen, Lars H. Halle, Klaus Hulek +1

Given a strict simple degeneration $f : X \to C$ the first three authors previously constructed a degeneration $I_{X / C}^{n} \to C$ of the relative degree $n$ Hilbert scheme of $0…

math.AG2016★ 1 cited

A GIT construction of degenerations of Hilbert schemes of points

Martin G. Gulbrandsen, Lars H. Halle, Klaus Hulek

We present a Geometric Invariant Theory (GIT) construction which allows us to construct good projective degenerations of Hilbert schemes of points for simple degenerations. A compa…

math.AG2015

The Euler characteristic of the generalized Kummer scheme of an Abelian threefold

Martin G. Gulbrandsen, Andrea T. Ricolfi

Let $X$ be an Abelian threefold. We prove a formula, conjectured by the first author, expressing the Euler characteristic of the generalized Kummer schemes $K^{n} X$ of $X$ in terms o…

math.AG2014

Schottky via the punctual Hilbert scheme

Martin G. Gulbrandsen, Martí Lahoz

We show that a smooth projective curve of genus $g$ can be reconstructed from its polarized Jacobian $(X, Θ)$ as a certain locus in the Hilbert scheme $Hilb^{d} (X)$ , for $d=…

math.AG2014★ 7 cited

A relative Hilbert-Mumford criterion