English

Projective Ranks of Compact Hermitian Symmetric Spaces

Algebraic Geometry 2007-05-23 v1 Differential Geometry

Abstract

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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Cite

@article{arxiv.math/0104112,
  title  = {Projective Ranks of Compact Hermitian Symmetric Spaces},
  author = {Amassa Fauntleroy},
  journal= {arXiv preprint arXiv:math/0104112},
  year   = {2007}
}

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PC LaTex, 27 pages