Refined elliptic tropical enumerative invariants
type: Item
instance of: scholarly article
title: Refined elliptic tropical enumerative invariants
zbMATH Open document ID: 1402.14082
author: Franziska Schroeter
author: Eugenii I. Shustin
published in: Israel Journal of Mathematics
publication date: 2018-07-03T00:00:00Z
full work available at URL: http://hdl.handle.net/21.11116/0000-0004-07F0-5
review text: This article is about refined tropical enumerative invariants. These are invariants introduced by \textit{F. Block} and \textit{L. Göttsche} [Compos. Math. 152, No. 1, 115--151 (2016; Zbl 1348.14125)] which depend on some formal parameter. A particular result of the article is a description of elliptic tropical broccoli curves, elliptic broccoli invariants and their refinement. This builds on the previous work of \textit{A. Gathmann} et al. [Adv. Math. 240, 520--574 (2013; Zbl 1285.14070)] where broccoli invariants were introduced, which are closely related to Welschinger invariants and play crucial role in real enumerative geometry. In the article, refined broccoli invariants are obtained in terms of Laurent polynomials and explicit computations for these invariants in terms of lattice path algorithms are carried out.
Mathematics Subject Classification ID: 14T05
zbMATH DE Number: 6898295
zbMATH Keywords: refined tropical geometry
reviewed by: Hülya Argüz
MaRDI profile type: Publication
OpenAlex ID: W2800888187
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DOI: 10.1007/S11856-018-1680-6
description: scientific article; zbMATH DE number 6898295