Aarhus Universitets segl

Proper connective differential graded algebras and their geometric realizations

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review


We show that every proper connective dg algebra A admits a geometric realization (as defined by Orlov) by a smooth projective scheme with a full exceptional collection. If A is moreover smooth, we compute the noncommutative Chow motive of A. We go on to analyse the relationship between smoothness and regularity in more detail as well as commenting on smoothness of the degree zero cohomology for smooth proper connective dg algebras.
TidsskriftEuropean Journal of Mathematics
Sider (fra-til)574-598
Antal sider24
StatusUdgivet - nov. 2022

Se relationer på Aarhus Universitet Citationsformater

ID: 295247725