3 citations · 8 across the 8 of their papers we have counts for
8 papers
Some Remarks on H-stability of syzygy bundle on algebraic surface
H. Torres-López, A. G. Zamora
Let be a globally generated line bundle over a smooth irreducible complex projective surface . The syzygy bundle is the kernel of the evaluation map $H^0(L)\otimes\m…
On the Segre Invariant for rank two vector bundles on \mathbb{P}^2
L. Roa-Leguizamón, H. Torres López, A. G. Zamora
We extend the concept of Segre's Invariant to vector bundles on a surface . For we determine what numbers can appear as the Segre Invariant of a rank vector…
On the slope of relatively minimal fibrations on rational complex surfaces
Claudia R. Alcantara, Abel Castorena, Alexis G. Zamora
Given a relatively minimal fibration on a rational surface with general fiber of genus , we investigate under what conditions the inequality $6(g-1)\…
Explicit Constructions for Genus 3 Jacobians
Jesus Romero-Valencia, Alexis G. Zamora
Given a canonical genus three curve , we construct, emulating Mumford discussion for hyperelliptic curves, a set of equations for an affine open subset of the jacobian $…
Semistable Fibrations on Rational Surfaces with at least 6 Singular Fibers
Claudia R. Alcantara, Abel Castorena, Alexis G. Zamora
This paper has been withdrawn. A completely rewritten new version will be soon submitted. In order to obtain the inequality some additional conditions must be im…
On the 0-dimensional irreducible components of the singular locus of $\Cal A_g$
V. Gonzalez -Aguilera, J. M. Munoz-Porras, Alexis G. Zamora
In this short note we give a characterization of extremal principally polarized abelian varieties determining an isolated point in $Sing \Cal A_g$. The case is treated with d…