On the Hilbert schemes of finite algebras over an algebraically closed field
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DOI: 10.1080/00927872.2017.1399409
Abstract: ABSTRACT In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the Hilbert schemes of a finite Gorenstein algebra.… read more here.
Keywords: closed field; algebras algebraically; hilbert schemes; algebraically closed ... See more keywords
Counting points of schemes over finite rings and counting representations of arithmetic lattices
Sign Up to like & getrecommendations! Published in 2018 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2018-0021
Abstract: We relate the singularities of a scheme $X$ to the asymptotics of the number of points of $X$ over finite rings. This gives a partial answer to a question of Mustata. We use this result… read more here.
Keywords: points schemes; representations arithmetic; arithmetic lattices; finite rings ... See more keywords