46 citations · 115 across the 10 of their papers we have counts for
10 papers
p-adic Abel-Jacobi map and p-adic Gross-Zagier formula for Hilbert modular forms
Ivan Blanco-Chacon, Ignacio Sols
We compute the p-adic Abel-Jacobi map of the product of a Hilbert modular surface and a modular curve at a null-homologous (modified) embedding of the modular curve in this product…
A GIT interpretration of the Harder-Narasimhan filtration
Tomas L. Gomez, Ignacio Sols, Alfonso Zamora
An unstable torsion free sheaf on a smooth projective variety gives a GIT unstable point in certain Quot scheme. To a GIT unstable point, Kempf associates a "maximally destabilizin…
Constraining the Kahler Moduli in the Heterotic Standard Model
Tomas L. Gomez, Sergio Lukic, Ignacio Sols
Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vect…
Moduli Spaces for Principal Bundles in Arbitrary Characteristic
T. L. G'omez, A. Langer, A. H. W. Schmitt +1
In this article, we solve the problem of constructing moduli spaces of semistable principal bundles (and singular versions of them) over smooth projective varieties over algebraica…
Moduli space of principal sheaves over projective varieties
Tomas L. Gomez, Ignacio Sols
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a complex projective curve and constructed a projective moduli space o…
Projective moduli space of semistable principal sheaves for a reductive group
Tomas L. Gomez, Ignacio Sols
Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal…