Two derived categories of a generic complex torus

Abstract: We will show that the derived category of $\mathcal O$-modules with coherent cohomology and the derived category of coherent sheaves are not equivalent for a generic compact complex-analytic torus of dimension $>2$. We will compare the algebraic structure of the two categories.

mathematical physicscommutative algebraalgebraic geometrycategory theoryK-theory and homologyquantum algebra

Audience: researchers in the topic

Conference on Algebraic Geometry