On secant varieties of Compact Hermitian Symmetric Spaces

Details On secant varieties of Compact Hermitian Symmetric Spaces On secant varieties of Compact Hermitian Symmetric Spaces

2008-02-22

arxiv.org/abs/0802.3402v2

Mathematics

Algebraic Geometry

15 pages, significantly cleaned up

Scientific paper

We show that the secant varieties of rank three compact Hermitian symmetric spaces in their minimal homogeneous embeddings are normal, with rational singularities. We show that their ideals are generated in degree three - with one exception, the secant variety of the $21$-dimensional spinor variety in $\pp{63}$ where we show the ideal is generated in degree four. We also discuss the coordinate rings of secant varieties of compact Hermitian symmetric spaces.

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