Journal of the Ramanujan Mathematical Society

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Reconstruction of a Superscheme From its Derived Category


Affiliations
1 The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
2 Centre de Recerca Matematica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain
     

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The aim of this paper is to construct a “super” version of a tensor triangulated category, and to show that superschemes can be reconstructed from its category of perfect complexes in a way similar to Balmer [Bal05] provided we consider this extra structure.
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  • Reconstruction of a Superscheme From its Derived Category

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Authors

Umesh V. Dubey
The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
Vivek M. Mallick
Centre de Recerca Matematica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain

Abstract


The aim of this paper is to construct a “super” version of a tensor triangulated category, and to show that superschemes can be reconstructed from its category of perfect complexes in a way similar to Balmer [Bal05] provided we consider this extra structure.