On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities
Algebraic Geometry
2007-05-23 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.math/0011117,
title = {On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities},
author = {Dimitrios I. Dais and Marko Roczen},
journal= {arXiv preprint arXiv:math/0011117},
year = {2007}
}
Comments
Latex 2e, 48 pages, 9 eps figures. Revised version (October 2001). To appear in "Adv. in Geometry", Vol. 1, Issue 4