Derived equivalences and Kodaira fibers

Derived equivalences and Kodaira fibers

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 comp...

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Veröffentlicht in:arXiv.org 2017-02
Hauptverfasser: López Martín, Ana Cristina, Carlos Tejero Prieto
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1702.00229