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arXiv · 1710.01484

Properness criteria for families of coherent analytic sheaves

Matei Toma
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Abstract

We extend Langton's valuative criterion for families of coherent algebraic sheaves to a complex analytic set-up. As a consequence we derive a set of sufficient conditions for the compactness of a moduli space of semistable sheaves over a compact complex manifold. This applies also to some cases appearing in complex projective geometry not covered by previous results.

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Matei Toma. 2021-08-27. Properness criteria for families of coherent analytic sheaves. https://doi.org/10.14231/ag-2020-015

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