Derived equivalences and Kodaira fibers

作者：Lopez Martin Ana Cristina; Tejero Prieto Carlos

来源：Journal of Geometry and Physics, 2017, 122: 69-79.

DOI：10.1016/j.geomphys.2017.02.002

• Fourier-Mukai partners
• Kodaira degenerations
• K-groups
• Matrix factorizations
• Category of singularities
• Cohen-Macaulay modules

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.

• 出版日期2017-12