Morphisms from projective spaces to G/P

2023/08/01 by Bakshi, Sarjick, Parameswaran, A J
#14M15 #14M17 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.00286

Abstract

We study maps between projective spaces and flag varieties. Let G = SL(n,ℂ). We show that there is no map from ℙ² to full flag variety G/B. We classify the minimal parabolic subgroups P for which there is a map from ℙ³ to G/P.

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