Luis Álvarez-Cónsul

most citedA functorial construction of moduli of sheaves

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math.AG2006★ 49 cited

A functorial construction of moduli of sheaves

Luis Álvarez-Cónsul, Alastair King

We show how natural functors from the category of coherent sheaves on a projective scheme to categories of Kronecker modules can be used to construct moduli spaces of semistable sh…

math.AG2005

On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces

Luis Alvarez-Consul, Oscar Garcia-Prada, Alexander H. W. Schmitt

We study holomorphic $(n + 1)$ -chains $E_{n} \to E_{n - 1} \to> ... \to E_{0}$ consisting of holomorphic vector bundles over a compact Riemann surface and homomorphisms between them. A noti…