Variation of moduli spaces and Donaldson invariants under change of polarization

1994/10/07 by Geir Ellingsrud, Ellingsrud, Geir, Lothar Göttsche +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.alg-geom/9410005

Abstract

The paper determines the change of moduli spaces of rank 2 sheaves on surfaces with p_g=0 under change of polarization and the corresponding change of the Donaldson invariants. In this revised version we have made some minor stylistic changes in the previous text. In addition we have added a final chapter of about 20 pages (announced in the previous version), in which the six lowest order terms (three of them non-zero) of the change are computed explicitely using computations in the cohomology of Hilbert schemes of points.

Citations

• Algebraic Families on an Algebraic Surface

Cited by

• Projectivity and Birational Geometry of Bridgeland moduli spaces

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