92 citations · 473 across the 45 of their papers we have counts for
Showing 2012 · math.AGShow all
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math.AG2012★ 12 cited
Semiample Bertini theorems over finite fields
Daniel Erman, Melanie Matchett Wood
We prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The probability…
math.AG2012★ 16 cited
Asymptotics of random Betti tables
Lawrence Ein, Daniel Erman, Robert Lazarsfeld
The purpose of this paper is twofold. First, we present a conjecture to the effect that the ranks of the syzygy modules of a smooth projective variety become normally distributed a…
math.AG2012★ 16 cited
Murphy's Law for Hilbert function strata in the Hilbert scheme of points
Daniel Erman
An open question is whether the Hilbert scheme of points of a high dimensional affine space satisfies Murphy's Law, as formulated by Vakil. In this short note, we instead consider…