Proper connective differential graded algebras and their geometric realizations

Theo Raedschelders*, Greg Stevenson

*Corresponding author af dette arbejde

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Abstract

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.
OriginalsprogEngelsk
TidsskriftEuropean Journal of Mathematics
Vol/bind8
Sider (fra-til)574-598
Antal sider24
ISSN2199-675X
DOI
StatusUdgivet - nov. 2022

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