6 citations
6 papers
Collapsing manifolds obtained by Kummer-type constructions
Gabriel P. Paternain, Jimmy Petean
We construct F-structures on a Bott manifold and on some other manifolds obtained by Kummer-type constructions. We also prove that if M=E#X, where E is a fiber bundle with structur…
Minimum search space and efficient methods for structural cluster optimization
Carlos Barron
A novel unification for the problem of search of optimal clusters under a well pair potential function is presented. My formulation introduces appropriate sets and lattices from wh…
A family of Prym-Tyurin varieties of exponent 3
H. Lange, S. Recillas, A. M. Rojas
We investigate a family of correspondences associated to étale coverings of degree 3 of hyperelliptic curves. They lead to Prym-Tyurin varieties of exponent 3. We identify these va…
Deformations of the generalised Picard bundle
I. Biswas, L. Brambila-Paz, P. E. Newstead
Let X be a non-singular algebraic curve of genus at least 3 and let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree d with n and d copr…
Entropy and collapsing of compact complex surfaces
Gabriel P. Paternain, Jimmy Petean
We study the problem of existence of F-structures on compact complex surfaces, giving a complete classification modulo the gap in the classification of surfaces of class VII. We th…
Unipotent reduction and the Poincare Problem
A. G. Zamora
The Poincare Problem can be reduced to a problem on fibered surfaces, concretely, to bound the genus of the fibration by means of numerical information of the canonical sheaf of th…