t{CQl-or1W{cn+or' VW with Mg(e) tw =W, regarded as a tangent vector at n .

I=l 1 fo is a locally closed immersion. 2) (a) e[~] (O,nn) of 9 -1 9 9 defines an immersion a£n Z IZ in pn -1 31 if 41n . { e[ab](O,~)} (b) r 2g _1 in P -1 9 defines an immersion of a,bEr Z r(r 2 ,2r 2 ) \H g if 21r. e[~](o,~)la,b E 6- 1z9/z 9 }, (b) The Satake compactification H* r(c,2c~ 9 normalization of the closure of 8c(r(c,2c~g) N = 9 IT i=l is isomorphic to the in pN, where di - 1. When c = (n,···,n), 21n, we can restate this lemma in more familiar form: R(r(n,2n)) = integral closure of the C-a1gebra generated by {e[g](O,n~).

Vx £ V. 3 open neighborhood Ux of x such that r(u x ' 0V) separates points of Ux.

### Compactification of Siegel Moduli Schemes by Ching-Li Chai

by John

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