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Zbl 0765.14002
Moser-Jauslin, Lucy
The Chow rings of smooth complete $SL(2)$-embeddings. (English)
[J] Compos. Math. 82, No.1, 67-106 (1992). ISSN 0010-437X; ISSN 1570-5846/e

From the author's introduction: ``An $SL\sb 2$-embedding is a three- dimensional algebraic $SL\sb 2$-variety/$\bbfC$ having an open orbit equivariantly isomorphic to $SL\sb 2$. The smooth complete $SL\sb 2$- embeddings have been classified in a combinatorial way by assigning them ``diagrams'' which contain information about the local rings of the orbits. We will describe how to calculate the Chow ring of such a variety directly from its diagram. The Chow ring will be shown to be isomorphic to the cohomology ring''.
[N.Mihalache (Bucureşti)]

MSC 2000:: *14C05 Parametrization
14J30 Special 3-folds

Keywords: $SL\sb 2$-embedding; Chow ring; cohomology ring

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