Exceptional collections for Grassmannians of isotropic lines

By Alexander Kuznetsov. 2005

104 citations recorded by the source corpus.

We construct a full exceptional collection of vector bundles in the derived categories of coherent sheaves on the Grassmannian of isotropic two‐dimensional subspaces in a symplectic vector space of dimension 2n and in an orthogonal vector space of dimension 2n + 1 for all n.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/995b5adec62808b0de48e43d5be5e68dd6637003

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In Geometry and Topology

1. L. Borisov
2. Andrei Căldăraru
3. K. Hori
4. Alexander Kuznetsov
5. P. Stellari
6. Emanuele Macrì
7. Alexander Perry
8. Nicolas Addington

In Mathematical Physics

1. L. Borisov
2. Andrei Căldăraru
3. K. Hori
4. Alexander Kuznetsov
5. P. Stellari
6. Emanuele Macrì
7. Alexander Perry
8. T. Bridgeland

Citations in the corpus

• The Pfaffian-Grassmannian derived equivalence (2006, methodology): “3.13. As pointed out by Kuznetsov, G-vanishing also follows from [ 6, Theorem 3.1 ], using the resolution obtained in Proposition 3.6.”
• Semiorthogonal decompositions in algebraic geometry (2014, background): “s odd hS−,S+,OQn,OQn(1),...,OQn(n−1)i, if n is even (8) where S and S± are the spinor bundles. Many exceptional collections have been constructed on other rational homogeneous spaces, see e.g. [S01], [K08b], [PS11], [M11], [FM12], and [KP11]. Full exceptional collections on smooth toric varieties (a”