Consejo Superior de Investigaciones Científicas

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math.AG2008

Simplicial Descent Categories

Beatriz Rodriguez Gonzalez

Much of the homotopical and homological structure of the categories of chain complexes and topological spaces can be deduced from the existence and properties of the 'simple' funct…

math.AG2007★ 1 cited

Moduli spaces of coherent systems of small slope on algebraic curves

S. B. Bradlow, O. Garcia-Prada, V. Mercat +2

Let $C$ be an algebraic curve of genus $g \geq 2$ . A coherent system on $C$ consists of a pair $(E, V)$ , where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and…

math.AG2007

Torelli theorem for moduli spaces of SL(r,C)-connections on a compact Riemann surface

Indranil Biswas, Vicente Muñoz

Let $X$ be any compact connected Riemann surface of genus $g \geq 3$ . For any $r \geq 2$ , let $M_{X}$ denote the moduli space of holomorphic $S L (r, C)$ -connections over $X$ . It is know…

math.AG2004

On the geometry of moduli spaces of coherent systems on algebraic curves

S. Bradlow, O. Garcia-Prada, V. Mercat +2

Let $C$ be an algebraic curve of genus $g$ . A coherent system on $C$ consists of a pair $(E, V)$ , where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and $V$ …

math.AG2004★ 10 cited

Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves

Oscar García-Prada, Daniel Hernández Ruipérez, Fabio Pioli +1

We define a Fourier-Mukai transform for a triple consisting of two holomorphic vector bundles over an elliptic curve and a homomorphism between them. We prove that in some cases th…

math.AG2002

Coherent systems and Brill-Noether theory

Steven Bradlow, Oscar Garcia-Prada, Vicente Muñoz +1

Let $C$ be a curve of genus $g \geq 2$ . A coherent system on $C$ consists of a pair $(E, V)$ where $E$ is an algebraic vector bundle of rank $n$ and degree $d$ and $V$ is a subspace…