English

Hodge theory on tropical curves

Algebraic Geometry 2023-04-11 v1 Differential Geometry

Abstract

We construct an analog of the Hodge theory on complex manifolds on tropical curves. We use the analytical approach to the problem, it is based on language of tropical differential forms and methods of L2L^2-cohomologies.

Keywords

Cite

@article{arxiv.2304.04243,
  title  = {Hodge theory on tropical curves},
  author = {Yury Eliyashev},
  journal= {arXiv preprint arXiv:2304.04243},
  year   = {2023}
}

Comments

24 pages