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Exceptional collections on moduli spaces of pointed stable rational curves Castravet, Ana Maria

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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 which 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.

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