Exceptional collections on moduli spaces of pointed stable rational curves

Abstract: I will report on joint work with Jenia Tevelev answering a question of Orlov. We prove that the Grothendieck-Knudsen moduli spaces of pointed stable rational curves with n markings admit full, exceptional collections that are invariant under the action of the symmetric group $S_n$ permuting the markings. In particular, a consequence is that the K-group with integer coefficients is a permutation $S_n$-lattice.

algebraic geometry

Audience: researchers in the topic

Warwick algebraic geometry seminar