20 citations · 32 across the 8 of their papers we have counts for
8 papers
Another proof of the conjecture
Geir Ellingsrud, Stein Arild Strømme
The "n! conjecture" of Garsia and Haiman has inspired mathematicians for nearly two decades, even after Haiman published a proof in 2001. Kumar and Funch Thomsen proved in 2003 tha…
On the irreducibility of the punctual Quotient Scheme of a Surface
Geir Ellingsrud, Manfred Lehn
We prove that the Quot-scheme of finite quotients of a vector bundle which are of a given length and supported in one point, is irreducible and of the expected dimension.
An intersection number for the punctual Hilbert scheme of a surface
Geir Ellingsrud, Stein Arild Strømme
Let S be a smooth projective surface, and consider the following two subvarieties of the Hilbert scheme parameterizing closed subschemes of S of length n: A = {subschemes with supp…
Wall-crossing formulas, Bott residue formula and the Donaldson invariants of rational surfaces
Geir Ellingsrud, Lothar Göttsche
We study the Donaldson invariants of rational surfaces and their dependence on the chambers in the ample cone. We build on a previous joint paper in which we have expressed the cha…
Some Donaldson invariants of CP^2
Geir Ellingsrud, Joseph Le Potier, Stein A. Stromme
We compute the Donaldson numbers and .
Bott's formula and enumerative geometry
G. Ellingsrud, S. A. Strømme
We outline a strategy for computing intersection numbers on smooth varieties with torus actions using a residue formula of Bott. As an example, Gromov-Witten numbers of twisted cub…