Derived equivalences and Kodaira fibers

JOURNAL OF GEOMETRY AND PHYSICS

卷:122

Article; Proceedings Paper

Tejero Prieto, Carlos¹ 

[1] Univ Salamanca, Dept Matemat, Plaza Merced 1-4, E-37008 Salamanca, Spain

关键词: Fourier-Mukai partners;    Kodaira degenerations;    K-groups;    Matrix factorizations;    Category of singularities;    Cohen-Macaulay modules;   

DOI  :  10.1016/j.geomphys.2017.02.002

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free