Node Polynomials for Curves on Surfaces

نویسندگان

چکیده

We complete the proof of a theorem we announced and partly proved in [Math. Nachr. 271 (2004), 69-90, math.AG/0111299]. The concerns family curves on surfaces. It has two parts. first was that paper. describes natural cycle enumerates with precisely $r$ ordinary nodes. second part is here. asserts that, for $r\le 8$, class this given by computable universal polynomial pushdowns to parameter space products Chern classes family.

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ژورنال

عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications

سال: 2022

ISSN: ['1815-0659']

DOI: https://doi.org/10.3842/sigma.2022.059