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Matematicheskie Zametki, 2024, Volume 116, Issue 6, Pages 998–1005
DOI: https://doi.org/10.4213/mzm14507 (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
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DOI: https://doi.org/10.4213/mzm14507
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.
Received: 19.07.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 6, Pages 1373–1378
DOI: https://doi.org/10.1134/S0001434624110439
Document Type: Article
UDC: 514.763.424+514.763.337
Language: Russian
Citation: N. A. Tyurin, “Lagrangian geometry of the Grassmannian $\mathrm{Gr}(1, n)$”, Mat. Zametki, 116:6 (2024), 998–1005; Math. Notes, 116:6 (2024), 1373–1378
Citation in format AMSBIB
\Bibitem{Tyu24}
\by N.~A.~Tyurin
\paper Lagrangian geometry of the Grassmannian $\mathrm{Gr}(1, n)$
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 6
\pages 998--1005
\mathnet{http://mi.mathnet.ru/mzm14507}
\crossref{https://doi.org/10.4213/mzm14507}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 6
\pages 1373--1378
\crossref{https://doi.org/10.1134/S0001434624110439}
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