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Nonexistence of regular maps between homogeneous projective varieties

Author:
Shrawan Kumar
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Group Theory (math.GR), Representation Theory (math.RT)
journal:
--
date:
2023-07-12 16:00:00
Abstract
We study non-existence of non-constant regular maps from a partial flag variety $X=G/P$ to another partial flag variety $X'=G'/P'$ and prove that there does not exist any non-constant regular map from any partial non-complete flag variety $X$ to any complete flag variety $X'=G'/B'$. We also formulate a general conjecture on the non-existence of non-constant regular maps from $X\to X'$.
PDF: Nonexistence of regular maps between homogeneous projective varieties.pdf
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