## Cross Ratio Varieties for Root Systems of Type $A$ and the Terada Model

J. Math. Sci. Univ. Tokyo
Vol. 3 (1996), No. 1, Page 181--197.

Sekiguchi, J.
Cross Ratio Varieties for Root Systems of Type $A$ and the Terada Model
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Abstract:
The notion of cross ratio varieties for root systems is introduced in [7]. Among others, in the case of the root system of type $A_{n+2}$, it was conjectured (cf. Conjecture 2.2 in [7]) that the corresponding cross ratio variety is isomorphic to the $n$-dimensional Terada model which is a natural compactification of the complement in ${\bf P}^n$ of the singular locus of the holonomic system of differential equations for the Appell-Lauricella hypergeometric function $F_D$. The purpose of this article is to prove this conjecture.

Mathematics Subject Classification (1991): Primary 14E05; Secondary 14J40
Mathematical Reviews Number: MR1414624