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The odd biisotropic symplectic Grassmannian S2Gr(3,7)
Abstract
We introduce a class of interesting algebraic varieties --- odd biisotropic symplectic Grassmannians S2Gr(k,2n+1) and study them with an emphasis on the case of the submaximal odd biisotropic symplectic Grassmannians S2Gr(n,2n+1), which we call catalecticant varieties. The main result of the paper is a construction of a full exceptional collection in the derived category of the catalecticant sixfold S2Gr(3,7).
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BibTeX
@misc{kuznetsov2026biisotropic,
title = {{The odd biisotropic symplectic Grassmannian $\operatornameS_2Gr(3,7)$}},
author = {Alexander Kuznetsov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07079},
eprint = {2611.07079},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07079},
}
RIS
TY - UNPB
TI - The odd biisotropic symplectic Grassmannian S_2Gr(3,7)
AU - Alexander Kuznetsov
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07079
UR - https://arxiv.org/abs/2611.07079
AB - We introduce a class of interesting algebraic varieties --- odd biisotropic symplectic Grassmannians S_2Gr(k,2n+1) and study them with an emphasis on the case of the submaximal odd biisotropic symplectic Grassmannians S_2Gr(n,2n+1), which we call catalecticant varieties. The main result of the paper is a construction of a full exceptional collection in the derived category of the catalecticant sixfold S_2Gr(3,7).
ER -