Multiplicativity of the Generating Functions for the Refined Node Polynomials on Toric Surfaces
| dc.contributor.author | Kikwai, Benjamin Kipkirui | |
| dc.date.accessioned | 2019-10-09T09:04:14Z | |
| dc.date.available | 2019-10-09T09:04:14Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | The advent of tropical enumerative geometry [Mik05, BM07, FM10], led to emergence of combinatorial strategies for tackling enumerative problems on complex algebraic varieties. In this thesis, we use long-edge graphs, which are combinatorial abstractions of tropical plane curves to prove that the generating function for the reļ¬ned node polynomials on a subclass of toric surfaces exhibits a multiplicative structure. Long edge graphs were originally introduced by Block, Colley and Kennedy [BCK14] and Liu [Liu16] to study similar questions for the standard Severi degrees | en_US |
| dc.identifier.uri | http://ir.mksu.ac.ke/handle/123456780/4901 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | SISSA | en_US |
| dc.title | Multiplicativity of the Generating Functions for the Refined Node Polynomials on Toric Surfaces | en_US |
| dc.type | Thesis | en_US |