Refined elliptic tropical invariants of toric surfaces
Franziska Schroeter, Eugenii Shustin
TL;DR
This paper extends refined broccoli invariants, which connect tropical Gromov-Witten and Welschinger invariants, to genus one toric surfaces, enriching the understanding of tropical invariants in algebraic geometry.
Contribution
It introduces the extension of refined broccoli invariants to genus one, advancing the study of tropical invariants of toric surfaces.
Findings
Extended refined broccoli invariants to genus one surfaces
Connected tropical Gromov-Witten and Welschinger invariants
Enhanced the framework for tropical invariants in algebraic geometry
Abstract
F. Block and L. G\"ottsche introduced refined tropical invariants of toric surfaces that intertwine tropical Gromov-Witten and Welschinger invariants of toric surfaces. L. G\"ottsche and the first author introduced refined broccoli invariants that intertwine some genus zero descendant tropical invariants and broccoli invariants of toric surfaces. In this note, we extend the refined broccoli invariants to the genus one case.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications