On the derived category of $\bar{M}_{0,n}$

TL;DR

This paper provides an inductive description of the derived category of the moduli space of n-pointed genus zero stable curves, using Keel's presentation and Orlov's theorem, with explicit calculations for _{0,6}.

Contribution

It introduces a new inductive approach to understanding the derived categories of _{0,n} and constructs explicit full exceptional collections.

Findings

Derived category description for _{0,n}

Explicit exceptional collections for _{0,6}

Application of Keel's presentation and Orlov's theorem

Abstract

Using Keel's presentation and Orlov's theorem, we give an inductive description of the derived category of moduli spaces of $n$--pointed stable curves of genus zero and some full exceptional collections in it. The detailed calculations are given for $\bar{M}_{0,6}$.