Equivalences of derived categories and K3 surfaces

Details Equivalences of derived categories and K3 surfaces Equivalences of derived categories and K3 surfaces

1996-06-07

arxiv.org/abs/alg-geom/9606006v5

J. Math. Sci. (New York) 84 (1997), no. 5, 1361--1381

Mathematics

Algebraic Geometry

28 pages, LaTeX file

Scientific paper

We consider derived categories of coherent sheaves on smooth projective
varieties. We prove that any equivalence between them can be represented by an
object on the product. Using this, we give a necessary and sufficient condition
for equivalence of derived categories of two K3 surfaces.

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