Hilbert schemes of points for associative algebras

2012/05/12 by Michael Larsen, Larsen, Michael, Valery A. Lunts +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1205.2767

Abstract

For a finitely generated associative algebra \cA over a commutative ring k we construct the Hilbert scheme \bf H^[n]_\cA which parametrizes left ideals in \cA of codimension n.

Related

• Sets of Hilbert series and their applications
• Categorical construction of Schemes
• Schemes of Associative Algebras
• Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations
• Local Equations for Hilbert Schemes of Points