Nontrivial linear projections of the Grassmannian Gr_3(C^6)

Autor:	Huang, Yanhe, Petroulakis, George, Sottile, Frank, Zelenko, Igor
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Optimization and Control 14M15 34A30 93B55
Druh dokumentu:	Working Paper
Popis:	A typical linear projection of the Grassmannian in its Plucker embedding is injective, unless its image is a projective space. A notable exception are self-adjoint linear projections, which have even degree. We consider linear projections of Gr_3(C^6) with low-dimensional centers of projection. When the center has dimension less than five, we show that the projection has degree 1. When the center has dimension five and the projection has degree greater than 1, we show that it is self-adjoint. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.10070 Zobrazit plný text záznamu View this record from Arxiv