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Tropical Clemens-Schmid sequence and existence of tropical cycles with a given cohomology class by Amini, Omid; Piquerez, Matthieu is a scholarly article available to read on EtoBox.

What is Tropical Clemens-Schmid sequence and existence of tropical cycles with a given cohomology class about?

This is a sequel to our work in tropical Hodge theory. Our aim here is to prove a tropical analogue of the Clemens-Schmid exact sequence in asymptotic Hodge theory. As an application of this result, we prove the tropical Hodge conjecture for smooth projective tropical varieties which are rationally triangulable. This provides a partial answer to a question of Kontsevich who suggested the validity of the tropical Hodge conjecture could be used as a test for the validity of the Hodge conjecture.

Author

Amini, Omid; Piquerez, Matthieu

Published

2020

Language

EN