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Mat. Zametki, 2024 Volume 116, Issue 6, Pages 998–1005 (Mi mzm14507)

Lagrangian geometry of the Grassmannian $\mathrm{Gr}(1, n)$

N. A. Tyurin

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region

Abstract: Yet another topological type of a Lagrangian submanifold in the Grassmannian $\operatorname{Gr}(1, n)$ is presented, which supplements the list of examples of various homogeneity degrees constructed by using a generalization of A. E. Mironov's construction.

Keywords: algebraic variety, Grassmannian of projective lines, Lagrangian submanifold, toric action.

UDC: 514.763.424+514.763.337

Received: 19.07.2024

DOI: 10.4213/mzm14507


 English version:
Mathematical Notes, 2024, 116:6, 1373–1378


© Steklov Math. Inst. of RAS, 2025