On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities
Dimitrios I. Dais, Marko Roczen
Abstract
The string-theoretic E-functions Estr(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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