Node polynomials for curves on surfaces

dc.date.accessioned	2022-08-09T15:30:04Z
dc.date.available	2022-08-09T15:30:04Z
dc.date.created	2022-03-31T13:46:36Z
dc.date.issued	2022
dc.identifier.citation	Piene, Ragni Kleiman, Steven . Node polynomials for curves on surfaces. SIGMA. Symmetry, Integrability and Geometry. 2022, 18
dc.identifier.uri	http://hdl.handle.net/10852/94905
dc.description.abstract	We complete the proof of a theorem we announced and partly proved in [Math. Nachr., vol. 271 (2004), Thm. 2.5, p. 74]. The theorem concerns a family of curves on a family of surfaces. It has two parts. The first was proved in that paper. It describes a natural cycle that enumerates the curves in the family with precisely r ordinary nodes. The second part is proved here. It asserts that, for r≤8, the class of this cycle is given by a computable universal polynomial in the pushdowns to the parameter space of products of the Chern classes of the family.
dc.description.abstract	Node polynomials for curves on surfaces
dc.language	EN
dc.publisher	Department of Applied Research, Institute of Math
dc.rights	Attribution-ShareAlike 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-sa/4.0/
dc.title	Node polynomials for curves on surfaces
dc.title.alternative	ENEngelskEnglishNode polynomials for curves on surfaces
dc.type	Journal article
dc.creator.author	Piene, Ragni
dc.creator.author	Kleiman, Steven
cristin.unitcode	185,15,13,55
cristin.unitname	Algebra, geometri og topologi
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.cristin	2014195
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIGMA. Symmetry, Integrability and Geometry&rft.volume=18&rft.spage=&rft.date=2022
dc.identifier.jtitle	SIGMA. Symmetry, Integrability and Geometry
dc.identifier.volume	18
dc.identifier.pagecount	23
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2022.059
dc.identifier.urn	URN:NBN:no-97438
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	1815-0659
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/94905/1/2202.11611.pdf
dc.type.version	PublishedVersion
cristin.articleid	059