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Mukai flops and derived categories II

Yoshinori Namikawa
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Abstract

This paper is a sequel to math.AG/0203287. A generalization of the Mukai flop has been studied by E. Markman. Here we call it a stratified Mukai flop. In this paper, we observe that, for a stratified Mukai flop: $X \to \bar{X} \leftarrow X^+$, the fiber product $X \times_{\bar{X}}X^+$ defines an isomorphism of Grothendieck groups $K(X) \to K(X^+)$, but, at the level of derived categories, the fiber product does not generally give an equivalence.

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BibTeXRIS

Yoshinori Namikawa. 2003-07-29. Mukai flops and derived categories II. https://arxiv.org/abs/math/0305086

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