Wall-crossing formulae for algebraic surfaces with $q>0$

Details Wall-crossing formulae for algebraic surfaces with $q>0$ Wall-crossing formulae for algebraic surfaces with $q>0$

1997-09-04

arxiv.org/abs/alg-geom/9709002v1

Mathematics

Algebraic Geometry

Latex2e, 20 pages

Scientific paper

We extend the ideas of Friedman and Qin (Flips of moduli spaces and transition formulae for Donaldson polynomial invariants of rational surfaces) to find the wall-crossing formulae for the Donaldson invariants of algebraic surfaces with geometrical genus zero, positive irregularity and anticanonical divisor effective, for any wall $\zeta$ with $l_{\zeta}=(\zeta\sp{2}-p_1)/4$ being zero or one.

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