Node polynomials for families: results and examples

Simple item page
dc.creatorKleiman, S.
dc.creatorPiene, R.
dc.date2001-11-29
dc.date.accessioned2026-07-07T04:44:50Z
dc.date.available2026-07-07T04:44:50Z
dc.descriptionWe continue the development of methods for enumerating nodal curves on smooth complex surfaces, stressing the range of validity. We illustrate the new methods in three important examples. First, for up to eight nodes, we confirm Göttsche's conjecture about plane curves of low degree. Second, we justify Vainsencher's enumeration of irreducible six-nodal plane curves on a general quintic threefold in four-space. Third, we supplement Bryan and Leung's enumeration of nodal curves in a given homology class on an Abelian surface of Picard number one.
dc.description23 pages, plain TeX
dc.identifierhttps://arxiv.org/abs/math/0111299
dc.identifierhttp://arxiv.org/abs/math/0111299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62755
dc.subjectAlgebraic Geometry
dc.subject14N10; 14C20, 14K05
dc.titleNode polynomials for families: results and examples
dc.typetext

Files

Collections

arXiv