Relative Node Polynomials for Plane Curves

• Main Author: Block, Florian
• Other Authors: Department of Mathematics - University of Michigan, University of Michigan Ann Arbor, University of Michigan System-University of Michigan System, Bousquet-Mélou, Mireille and Wachs, Michelle and Hultman, Axel
• Format: Conference Object
• Language: English
• Published: HAL CCSD 2011
• Subjects: enumerative geometry; floor diagram; Gromov-Witten theory; node polynomial; tangency conditions; [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]; [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]; Fomin; Severi; Iceland
• Online Access: https://hal.inria.fr/hal-01215084; https://hal.inria.fr/hal-01215084/document; https://hal.inria.fr/hal-01215084/file/dmAO0119.pdf

International audience We generalize the recent work of Fomin and Mikhalkin on polynomial formulas for Severi degrees. The degree of the Severi variety of plane curves of degree d and δ nodes is given by a polynomial in d, provided δ is fixed and d is large enough. We extend this result to generaliz...