Counting Curves with Tangencies

Interpreting tangency as a limit of two transverse intersections, we obtain a concrete formula to enumerate smooth degree plane curves tangent to a given line at multiple points with arbitrary order of tangency. Extending that idea, we then enumerate curves with one node with multiple tangencies to...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Biswas, Indranil, Choudhury, Apratim, Mukherjee, Ritwik, Paul, Anantadulal
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212879
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Counting Curves with Tangencies. Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee and Anantadulal Paul. SIGMA 21 (2025), 012, 50 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine