12 citations · 25 across the 3 of their papers we have counts for
4 papers · 1 filter
More Reduced Obstruction Theories
Timo Schürg
This short note first develops a general formalism for globally removing a factor from an obstruction theory. This formalism is then applied to give a construction of a reduced obs…
Grothendieck-Riemann-Roch for derived schemes
Parker Lowrey, Timo Schürg
We define bivariant algebraic K-theory and bivariant derived Chow on the homotopy category of derived schemes over a smooth base. The orientation on the latter corresponds to virtu…
Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
Timo Schürg, Bertrand Toën, Gabriele Vezzosi
We show how a quasi-smooth derived enhancement of a Deligne-Mumford stack X naturally endows X with a functorial perfect obstruction theory in the sense of Behrend-Fantechi. This r…
Deriving Deligne-Mumford Stacks with Perfect Obstruction Theories
Timo Schürg
We give conditions for a n-connective quasicoherent obstruction theory on a Deligne-Mumford stack to come from the structure of a connective spectral Deligne-Mumford stack on the u…