92 citations · 473 across the 45 of their papers we have counts for
4 papers · 1 filter
Divergent Series and Serre's intersection formula for graded rings
Daniel Erman
On a smooth variety, Serre's intersection formula computes intersection multiplicities via an alternating sum of the lengths of Tor groups. When the variety is singular, the corres…
Supernatural analogues of Beilinson monads
Daniel Erman, Steven V Sam
We use supernatural bundles to build GL-equivariant resolutions supported on the diagonal of P^n x P^n, in a way that extends Beilinson's resolution of the diagonal. We thus obtain…
Furstenberg sets and Furstenberg schemes over finite fields
Jordan S. Ellenberg, Daniel Erman
We give a lower bound for the size of a subset of containing a rich k-plane in every direction, a k-plane Furstenberg set. The chief novelty of our method is that w…
A quick proof of nonvanishing for asymptotic syzygies
Lawrence Ein, Daniel Erman, Robert Lazarsfeld
We give a quick new approach to the main cases of the nonvanishing theorems of first and third authors concerning the asymptotic behavior of the syzygies of a projective variety as…