Projective Ranks of Compact Hermitian Symmetric Spaces

Details Projective Ranks of Compact Hermitian Symmetric Spaces Projective Ranks of Compact Hermitian Symmetric Spaces

2001-04-10

arxiv.org/abs/math/0104112v1

Mathematics

Algebraic Geometry

PC LaTex, 27 pages

Scientific paper

Let M be a compact irreducible Hermitian symmetric space and write M=G/K,
with G the group of holomorphic isometries of M and K the stability group of
the point of 0 in M. We determine the maximal dimension of a complex projective
space embedded in M as a totally geodesic submanifold.

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