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DG Indschemes

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2014

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American Mathematical Society
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Gaitsgory, Dennis, and Nick Rozenblyum. 2014. "DG indschemes." In Perspectives in Representation Theory (Contemporary Mathematics 610)(Proceedings of a Conference in Honor of Igor Frenkel’s 60th Birthday), eds. Pavel Etingof, Mikhail Khovanov, and Alistair Savage, May 12–17, 2012, Yale University, New Haven, CT, 139-152. Providence, RI: American Mathematical Society.

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Abstract

We develop the notion of indscheme in the context of derived algebraic geometry, and study the categories of quasi-coherent sheaves and ind-coherent sheaves on indschemes. The main results concern the relation between classical and derived indschemes and the notion of formal smoothness.

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algebraic geometry

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