Výsledky vyhledávání - "ELLINGSRUD, GEIR"

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Autor: Ellingsrud, Geir, Strømme, Stein Arild

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 that in order to prove the conjecture for all partitions, it suffices to

Externí odkaz: http://arxiv.org/abs/1108.4403

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On the irreducibility of the punctual Quotient Scheme of a Surface

Autor: Ellingsrud, Geir, Lehn, Manfred

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.
Comment: 10 pages, Latex2e

Externí odkaz: http://arxiv.org/abs/alg-geom/9704016

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An intersection number for the punctual Hilbert scheme of a surface

Autor: Ellingsrud, Geir, Strømme, Stein Arild

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 support in a fixed point of S} B = {subschemes with support in one (variab

Externí odkaz: http://arxiv.org/abs/alg-geom/9603015

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Wall-crossing formulas, Bott residue formula and the Donaldson invariants of rational surfaces

Autor: Ellingsrud, Geir, Göttsche, Lothar

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 change of the Donaldson invariants on an algebraic surface $S$ under cros

Externí odkaz: http://arxiv.org/abs/alg-geom/9506019

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Some Donaldson invariants of CP^2

Autor: Ellingsrud, Geir, Potier, Joseph Le, Stromme, Stein A.

We compute the Donaldson numbers $q_{17}(CP^2)=2540$ and $q_{21}(CP^2)=233208$.
Comment: 8 pages. Submitted to the proceedings of the Dec. 94 Taniguchi Symposium "Vector Bundles". AMSLaTeX v 1.2 (latex2e, amsart, amscd)

Externí odkaz: http://arxiv.org/abs/alg-geom/9504007

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Variation of moduli spaces and Donaldson invariants under change of polarization

Autor: Ellingsrud, Geir, Göttsche, Lothar

The paper determines the change of moduli spaces of rank $2$ sheaves on surfaces with $p_g=0$ under change of polarization and the corresponding change of the Donaldson invariants. In this revised version we have made some minor stylistic changes in

Externí odkaz: http://arxiv.org/abs/alg-geom/9410005

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