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arXiv · 1011.6306

Moduli of PT-semistable objects II

Jason Lo
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Abstract

We generalise the techniques of semistable reduction for flat families of sheaves to the setting of the derived category $D^b(X)$ of coherent sheaves on a smooth projective three-fold $X$. Then we construct the moduli of PT-semistable objects in $D^b(X)$ as an Artin stack of finite type that is universally closed. In the absence of strictly semistable objects, we construct the moduli as a proper algebraic space of finite type.

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Jason Lo. 2011-05-04. Moduli of PT-semistable objects II. https://arxiv.org/abs/1011.6306

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