# Derived category of squarefree modules and local cohomology with monomial ideal support

@article{Yanagawa2003DerivedCO, title={Derived category of squarefree modules and local cohomology with monomial ideal support}, author={Kohji Yanagawa}, journal={Journal of The Mathematical Society of Japan}, year={2003}, volume={56}, pages={289-308} }

A "squarefree module" over a polynomial ring $S = k[x_1, .., x_n]$ is a generalization of a Stanley-Reisner ring, and allows us to apply homological methods to the study of monomial ideals systematically. Let $Sq$ be the category of squarefree modules. Then the derived category $D^b(Sq)$ of $Sq$ has three duality functors which act on $D^b(Sq)$ just like three transpositions of the symmetric group $S_3$ (up to translation). This phenomenon is closely related to the Koszul dulaity (in particular…

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