INVARIANTS OF THE SMOOTH STRUCTURE OF AN ALGEBRAIC SURFACE ARISING FROM THE DIRAC OPERATOR

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© 1993 American Mathematical Society
, , Citation V Ya Pidstrigach and A N Tyurin 1993 Izv. Math. 40 267 DOI 10.1070/IM1993v040n02ABEH002167

1064-5632/40/2/267

Abstract

We construct invariants of the smooth structure of an algebraic surface in terms of coupled Dirac operators. The invariants allow us to distinguish between del Pezzo surfaces and fake del Pezzo surfaces by their smooth structure.

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10.1070/IM1993v040n02ABEH002167