Nested Hilbert Schemes and the nested $q,t$-Catalan series

In this paper we study the tangent spaces of the smooth nested Hilbert scheme $\mathrm{Hilb}^{n,n-1}(\mathbb{A}^2)$ of points in the plane, and give a general formula for computing the Euler characteristic of a $\mathbb{T}^2$-equivariant locally free sheaf on $\mathrm{Hilb}^{n,n-1}(\mathbb{A}^2)$. A...

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Bibliografiska uppgifter

Huvudupphov:	Mahir Bilen Can
Materialtyp:	Artigo
Språk:	Inglês
Utgiven:	Discrete Mathematics & Theoretical Computer Science 2008-01-01
Serie:	Discrete Mathematics & Theoretical Computer Science
Ämnen:	atiyah-bott lefschetz formula (nested) hilbert scheme of points tangent spaces diagonal coinvariants [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Länkar:	https://dmtcs.episciences.org/3636/pdf
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