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arxiv: 1702.00229 · v1 · pith:IOD5ZAAQnew · submitted 2017-02-01 · 🧮 math.AG

Derived equivalences and Kodaira fibers

classification 🧮 math.AG
keywords kodairaderivedcurvenon-reducedcategoryclassifycompleteconditions
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We give necessary conditions for two (including non-reduced and multiple) Kodaira curves to be derived equivalent. We classify Fourier-Mukai partners of any reduced Kodaira curve. We prove that the derived category of singularities of any non-reduced and non-multiple Kodaira curve is idempotent complete.

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