Spin polynomial invariants for Dolgachev surfaces

1993/11/23 by Stefan Bauer, Bauer, S., V. Pidstrigatch +1
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.alg-geom/9311008

Abstract

We consider the spin polynomial invariants for bundles with c₂=2 and c₁ = K_S + 2nk a rational mutiple of the canonical divisor on a Dolgacev surface. It is shown that the chamber structure can be controlled so that the polynomials give diffeomorphism invariants of Dolgachev surfaces of the form q_S(n) = a(n)Q² + b(n)Qk² + c(n)k⁴. The two leading coefficients are computed.

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