Node Polynomials for Curves on Surfaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Kleiman, Steven, Piene, Ragni
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211728
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Node Polynomials for Curves on Surfaces. Steven Kleiman and Ragni Piene. SIGMA 18 (2022), 059, 23 pages

We complete the proof of a theorem we announced and partly proved in [Math. Nachr. 271 (2004), 69-90, math.AG/0111299]. 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 th...