# Semiorthogonal decompositions of equivariant derived categories of invariant divisors

@article{Lim2020SemiorthogonalDO,
title={Semiorthogonal decompositions of equivariant derived categories of invariant divisors},
author={Bronson Lim and Alexander Polishchuk},
journal={Mathematical Research Letters},
year={2020}
}
• Published 29 September 2017
• Mathematics
• Mathematical Research Letters
Given a smooth variety $Y$ with an action of a finite group $G$, and a semiorthogonal decomposition of the derived category, $\mathcal{D}[Y/G]$, of $G$-equivariant coherent sheaves on $Y$ into subcategories equivalent to derived categories of smooth varieties, we construct a similar semiorthogonal decomposition for a smooth $G$-invariant divisor in $Y$ (under certain technical assumptions). Combining this procedure with the semiorthogonal decompositions constructed in [PV15], we construct…
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