2024/12/19 by Svetlana Makarova, Makarova, Svetlana, Meng, Junyu · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2412.15390
We consider the fine quiver moduli space of representations of the 3-Kronecker quiver of dimension vector (2,3), which is a blow down of the Hilbert scheme of 3 points on \mathdsP2. A short description of its geometry and Chow ring is given. Then we exhibit an exceptional sequence for the derived category by understanding a \mathdsP1-bundle over it and using Teleman Quantization. The fullness of the exceptional sequence is proved by using a covering argument and computations of mutations.