Lefschetz (1,1)-theorem in tropical geometry

For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map. To prove this we establish a tropical version of the Lefschetz (1, 1)-theorem for ratio...

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Bibliographic Details
Main Authors: Philipp Jell, Johannes Rau, Kristin Shaw
Format: Article
Language:English
Published: Association Epiga 2018-11-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/4126/pdf