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math.AG2000
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…
math.AG2000
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_…
math.AG2000
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…