Denote by G(k,n) the Grassmannian of linear subspaces of dimension k in Pn. We show that if n >m then every morphism \varphi:G(k,n) \to G(l,m) is constant.

Morphisms between Grassmannians / Naldi, Angelo; Occhetta, Gianluca. - In: PROCEEDINGS OF THE JAPAN ACADEMY. SERIES A MATHEMATICAL SCIENCES. - ISSN 0386-2194. - STAMPA. - 2022, 98:10(2022), pp. 101-105. [10.3792/pjaa.98.019]

Morphisms between Grassmannians

Occhetta, Gianluca
2022-01-01

Abstract

Denote by G(k,n) the Grassmannian of linear subspaces of dimension k in Pn. We show that if n >m then every morphism \varphi:G(k,n) \to G(l,m) is constant.
2022
10
Naldi, Angelo; Occhetta, Gianluca
Morphisms between Grassmannians / Naldi, Angelo; Occhetta, Gianluca. - In: PROCEEDINGS OF THE JAPAN ACADEMY. SERIES A MATHEMATICAL SCIENCES. - ISSN 0386-2194. - STAMPA. - 2022, 98:10(2022), pp. 101-105. [10.3792/pjaa.98.019]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/365035
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