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Affine representations of the fundamental group (with an appendix on parabolic representations)
Tomas L. Gomez, Francisco Presas
Unitary representations of the fundamental group of a Kahler manifold correspond to polystable vector bundles (with vanishing Chern classes). Semisimple linear representations corr…
Parabolic bundles and representations of the fundamental group
Tomas L. Gomez, T. R. Ramadas
Let X be as smooth complex projective variety with Neron-Severi group isomorphic to Z, and D an irreducible divisor with normal crossing singularities. Assume r is equal to 2 or 3.…
Algebraic stacks
T. Gomez
This is an expository article on the theory of algebraic stacks. After introducing the general theory, we concentrate in the example of the moduli stack of vector budles, giving a…
Stability of conic bundles (with an appendix by Mundet i Riera)
T. Gomez, I. Sols
Roughly speaking, a conic bundle is a surface, fibered over a curve, such that the fibers are conics (not necessarily smooth). We define stability for conic bundles and construct a…