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

2000/11/17 by Dimitrios I. Dais, Dais, Dimitrios I., Marko Roczen +1
Mathematics · Physics and Astronomy · #(Primary) 14Q15 #(Secondary) 14B05 #14E15 #32S05 #32S25 #32S35 #32S45 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG #msc:14B05 #msc:14E15 #msc:14Q15 #msc:32S05 #msc:32S25 #msc:32S35 #msc:32S45

paper · pdf · doi:10.48550/arxiv.math/0011117

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

arxiv created 2001/10/25 · arxiv updated 2009/11/30

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.

Related

• On the String-Theoretic Euler Number of a Class of Absolutely Isolated Singularities
• Stringy E-functions of varieties with A-D-E singularities
• Stringy invariants of normal surfaces
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• Stringy zeta functions for Q-Gorenstein varieties