Secondary staircase complexes on isotropic Grassmannians
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909415105363968 |
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| author | Novikov, Alexander |
| author_facet | Novikov, Alexander |
| contents | We introduce a class of equivariant vector bundles on isotropic symplectic Grassmannians $\mathrm{IGr}(k,2n)$ defined as appropriate truncations of staircase complexes and show that these bundles can be assembled into a number of complexes quasi-isomorphic to the symplectic wedge powers of the symplectic bundle on $\mathrm{IGr}(k,2n)$. We are planning to use these secondary staircase complexes to study fullness of exceptional collections in the derived categories of isotropic Grassmannians and Lefschetz exceptional collections on $\mathrm{IGr}(3,2n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Secondary staircase complexes on isotropic Grassmannians Novikov, Alexander Algebraic Geometry We introduce a class of equivariant vector bundles on isotropic symplectic Grassmannians $\mathrm{IGr}(k,2n)$ defined as appropriate truncations of staircase complexes and show that these bundles can be assembled into a number of complexes quasi-isomorphic to the symplectic wedge powers of the symplectic bundle on $\mathrm{IGr}(k,2n)$. We are planning to use these secondary staircase complexes to study fullness of exceptional collections in the derived categories of isotropic Grassmannians and Lefschetz exceptional collections on $\mathrm{IGr}(3,2n)$. |
| title | Secondary staircase complexes on isotropic Grassmannians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.02914 |