18 citations · 83 across the 19 of their papers we have counts for
19 papers
Calabi-Yau Three-folds and Moduli of Abelian Surfaces II
Mark Gross, Sorin Popescu
This is the sequel to arXiv:math/0001089. In this paper, we complete the promised description of moduli of abelian surfaces of low degree, covering the cases of degree (1,12), (1,1…
Small schemes and varieties of minimal degree
David Eisenbud, Mark Green, Klaus Hulek +1
We prove that if X is any 2-regular projective scheme (in the sense of Castelnuovo-Mumford) then X is "small". This means that if L is a linear space and Y:= L\cap X is finite, the…
A note on the Intersection of Veronese Surfaces
David Eisenbud, Klaus Hulek, Sorin Popescu
Motivated by our study (elsewhere) of linear syzygies of homogeneous ideals generated by quadrics and their restrictions to subvarieties of the ambient projective space, we investi…
Exterior algebra methods for the Minimal Resolution Conjecture
David Eisenbud, Sorin Popescu, Frank-Olaf Schreyer +1
If r\geq 6, r\neq 9, we show that the Minimal Resolution Conjecture fails for a general set of m points in P^r for almost 1/2\sqrt r values of m. This strengthens the result of Eis…
Elliptic functions and equations of modular curves
Lev Borisov, Paul Gunnells, Sorin Popescu
Let be a prime. We show that the space of weight one Eisenstein series defines an embedding into $\PP^{(p-3)/2}$ of the modular curve for the congruence group $Γ_…
Calabi-Yau Threefolds and Moduli of Abelian Surfaces I
Mark Gross, Sorin Popescu
We describe birational models and decide the rationality/unirationality of moduli spaces AA_{d} (and AA^{lev}_{d}) of (1,d)-polarized abelian surfaces (with canonical level structu…