Titlebook: Combinatorial Algebraic Geometry; Selected Papers From Gregory G. Smith,Bernd Sturmfels Book 2017 Springer Science+Business Media LLC 2017

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Towards a Tropical Hodge Bundle,ch graph ., the associated canonical linear system | .. | has the structure of a polyhedral complex. In this article, we propose a tropical analogue of the Hodge bundle on . and study its basic combinatorial properties. Our construction is illustrated with explicit computations and examples.

EPT

Cellular Sheaf Cohomology in ,,)homologies. As motivation, we summarize some results from toric and tropical geometry linking cellular sheaf cohomologies to cohomologies of algebraic varieties. We then give an overview of the structure of the extension . for .. Finally, we illustrate the usage of the extension with examples from

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