4 papers · 1 filter
The compactified Picard scheme of the compactified Jacobian
Eduardo Esteves, Steven Kleiman
Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the associated Abel map A_L : C -> P, which maps C into its compacti…
Effective very ampleness for generalized theta divisors
Eduardo Esteves, Mihnea Popa
Given a smooth projective curve X, we give effective very ampleness bounds for generalized theta divisors on the moduli spaces and of semistable vector bundl…
Bounding solutions of Pfaff equations
E. Esteves, S. Kleiman
Let ωbe a Pfaff system of differential forms on a projective space. Let S be its singular locus, and Y a solution of ω=0. We prove Y\cap S is of codimension at most 1 in Y, just as…
Bounds on leaves of foliations of the plane
E. Esteves, S. Kleiman
This paper contributes to the solution of the Poincare problem, which is to bound the degree of a (generalized algebraic) leaf of a (singular algebraic) foliation of the complex pr…