Derived category of moduli of pointed curves -- II

2020/02/07 by Ana-Maria Castravet, Castravet, Ana-Maria, Jenia Tevelev +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2002.02889

openalex publication_date 2020/02/07 · openalex created_date 2023/06/14 · openalex updated_date 2026/07/28

Abstract

We show that the moduli space of stable rational curves with n marked points has a full exceptional collection equivariant under the action of the symmetric group S_n permuting the marked points. In particular, its K-group with integer coefficients is a permutation S_n-lattice.

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