Young person’s guide to canonical singularities. (English) Zbl 0634.14003

Reid, Miles

Algebraic geometry, Proc. Summer Res. Inst., Brunswick/Maine 1985, part 1, Proc. Symp. Pure Math. 46, 345-414 (1987).

[For the entire collection see Zbl 0626.00011.]
New exposition of the author’s recent works on singularities of algebraic varieties and principally on three-fold singularities, being also an introduction to the author’s work and of that of Morrison, Stevens, Mori, etc. The author gives a presentation of canonical singularities, terminal singularities, relations and computation of some invariants in terms of the Newton polyhedron.
This paper can also be seen as a review of recent works, but unfortunately it is not very complete, even in the subjects studied.

Reviewer: M.Morales

MSC:

14B05	Singularities in algebraic geometry
14J30	\(3\)-folds
14J17	Singularities of surfaces or higher-dimensional varieties

Keywords:

three-fold singularities; canonical singularities; terminal singularities; Newton polyhedron