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Wall-crossing formulae for algebraic surfaces with positive irregularity.

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dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T18:44:02Z
dc.date.available2023-06-20T18:44:02Z
dc.date.issued2000
dc.description.abstractWe extend the ideas of Friedman and Qin [5] 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 ç with lç = 1 4 (ç2 −p1) being 0 or 1.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21287
dc.identifier.doihttp;//dx.doi.org/http://arxiv.org/pdf/alg-geom/9709002v1.pdf
dc.identifier.issn0024-6107
dc.identifier.officialurlhttp://arxiv.org/pdf/alg-geom/9709002v1.pdf
dc.identifier.relatedurlhttp://arxiv.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58465
dc.issue.number1
dc.journal.titleJournal of the London Mathematical Society. Second Series
dc.language.isoeng
dc.page.final274
dc.page.initial259
dc.publisherOxford University Press
dc.rights.accessRightsopen access
dc.subject.cdu515.1
dc.subject.cdu512.7
dc.subject.ucmGeometria algebraica
dc.subject.ucmTopología
dc.subject.unesco1201.01 Geometría Algebraica
dc.subject.unesco1210 Topología
dc.titleWall-crossing formulae for algebraic surfaces with positive irregularity.
dc.typejournal article
dc.volume.number61
dcterms.referencesW. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Springer-Verlag, 1984. G. Ellingsrud and L. Gottsche, Wall-crossing formulas,Bott residue formula and the Donaldson invariants of rational surfaces, Preprint. G. Ellingsrud and L. Gottsche, Variation of moduli spaces and Donaldson invariants under change of polarisation, Journal reine angew. Math. 467 1995, 1-49. R. Friedman and J. W. Morgan, Smooth four-manifolds and complex surfaces, Springer-Verlag,1994. R. Friedman and Z. Qin, Flips of moduli spaces and transition formulae for Donaldson polynomial invariants of rational surfaces, Communications in analysis and geometry. To appear. L. Gottsche, Modular forms and Donaldson invariants for 4-manifolds with b+ = 1, Preprint,1995. R. Hartshorne, Algebraic geometry, Springer-Verlag, 1978. 8. D. Kotschick, SO(3) invariants for 4-manifolds with b+2 = 1, Proc. Lond. Math. Soc. 63 1991,426-448. D. Kotschick and J. Morgan, SO(3) invariants for 4-manifolds with b+2 = 1 II, Jour. Differential Geometry, 39 1994, 433-456. P. B. Kronheimer and T. S. Mrowka, Embedded surfaces and the structure of Donaldson’s polynomial invariants, Jour. Differential Geometry, 41 1995, 573-734. T. Leness, Donaldson wall-crossing formulas via topology, Preprint, 1996. J. W. Morgan and T. S. Mrowka, A note on Donaldson’s polynomial invariants, Int. Math. Res.Notices, 10 1992, 223-230. Z. Qin, Equivalence classes of polarizations and moduli spaces of sheaves, Jour. Differential Geometry, 37 1993,397-415.
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