On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities

Details On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities

2000-11-17

arxiv.org/abs/math/0011117v2

Mathematics

Algebraic Geometry

Latex 2e, 48 pages, 9 eps figures. Revised version (October 2001). To appear in "Adv. in Geometry", Vol. 1, Issue 4

Scientific paper

The string-theoretic E-functions E_{str}(X;u,v) of normal complex varieties X having at most log-terminal singularities are defined by means of snc-resolutions. We give a direct computation of them in the case in which X is the underlying space of the 3-dimensional A-D-E singularities by making use of a canonical resolution process. Moreover, we compute the string-theoretic Euler number for several compact complex threefolds with prescribed A-D-E singularities.

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