Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of a variety from the derived category and groups of
  autoequivalences   We consider smooth algebraic varieties with ample either canonical or
anticanonical sheaf. We prove that such a variety is uniquely determined by its
derived category of coherent sheaves. We also calculate the group of exact
autoequivalences for these categories. The technics of ample sequences in
abelian categories is used.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph