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Journal of the London Mathematical Society 2000 61(1):259-274; doi:10.1112/S0024610799008327
© 2000 by London Mathematical Society
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© The London Mathematical Society

Wall-Crossing Formulae for Algebraic Surfaces with Positive Irregularity

Vicente Muñoz

Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga Campus de Teatinos, s/n, 29071 Málaga, Spain, vmunoz{at}agt.cie.uma.es

Received 22 April 1997. Revision received 16 June 1998.

The ideas of Friedman and Qin are extended to find the wall-crossing formulae for the Donaldson invariants of algebraic surfaces with pg = 0, q > 0 and anticanonical divisor –K effective, for any wall {zeta} with l{zeta} = 1/4({zeta}2p1) being 0 or 1.


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