Title
Cohomology of noncommutative Hilbert schemesCohomology of noncommutative Hilbert schemes
Author
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Algebras and representation theory. - -
Volume/pages
8(2005):4, p. 541-561
ISSN
1386-923X
ISI
000233248500005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
Noncommutative Hilbert schemes, introduced by M. V. Nori, parametrize left ideals of finite codimension in free algebras. More generally, parameter spaces of finite-codimensional submodules of free modules over free algebras are considered. Cell decompositions of these varieties are constructed, whose cells are parametrized by certain types of forests. Asymptotics for the corresponding Poincare polynomials and properties of their generating functions are discussed.
E-info
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