51 citations · 237 across the 15 of their papers we have counts for
16 papers · 1 filter
A short guide to GKZ
Ed Segal
These notes are a brief summary of the main results from the book `Discriminants, Resultants and Multidimensional Determinants' by Gelfand-Kapranov-Zelevinsky. We sketch the key id…
Serre functors of residual categories via hybrid models
Federico Barbacovi, Ed Segal
In this short note we observe that the Serre functor on the residual category of a complete intersection can be easily described in the framework of hybrid models. Using this descr…
Line fields on punctured surfaces and twisted derived categories
Ed Segal
The Fukaya category of a punctured surface can be reconstructed from a pair-of-pants decomposition using a formal construction that attaches a category to a trivalent graph. We ext…
Discriminants and semi-orthogonal decompositions
Alex Kite, Ed Segal
The derived categories of toric varieties admit semi-orthogonal decompositions coming from wall-crossing in GIT. We prove that these decompositions satisfy a Jordan-Holder property…
A non-commutative Bertini theorem
Jørgen Vold Rennemo, Ed Segal, Michel Van den Bergh
We prove a version of the classical 'generic smoothness' theorem with smooth varieties replaced by non-commutative resolutions of singular varieties. This in particular implies a n…
Hori-mological projective duality
Jørgen Vold Rennemo, Ed Segal
Kuznetsov has conjectured that Pfaffian varieties should admit non-commutative crepant resolutions which satisfy his Homological Projective Duality. We prove half the cases of this…