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Old and new results about the triangle varieties. (English) Zbl 0654.14026

Algebraic geometry, Proc. Conf., Sundance/Utah 1986, Lect. Notes Math. 1311, 197-219 (1988).
[For the entire collection see Zbl 0635.00006.]
Recent work on triangle varieties is examined under all its aspects and given an exhaustive and coherent treatment [see e.g. the author and R. Speiser, Commun. Algebra 12, 1213-1255 (1984; Zbl 0648.14029) and 14, 155-191 (1986; Zbl 0648.14030) and recent work by Collino and Fulton]. – - New results in this paper relate to intersection pairings on the parameter variety for triangles with one side omitted, to a review ann a new proof of some of Schubert’s calculations and to the question whether some specific triangle varieties are isomorphic.
All of these require too many technical details to be described in a short review.
Reviewer: A.Evyatar

MSC:

14N10 Enumerative problems (combinatorial problems) in algebraic geometry
14N05 Projective techniques in algebraic geometry
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
51N35 Questions of classical algebraic geometry