Nonarchimedean and Tropical Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Baker, Matthew (Editor), Payne, Sam (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Simons Symposia,
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarc...

Table of Contents:

• Preface
• Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros) [W. Gubler]
• Convergence Polygons for Connections on Nonarchimedean Curves [K.S. Kedlaya]
• About Hrushovski and Loeser's work on the Homotopy Type of Berkovich Spaces [A. Ducros]
• Excluded Homeomorphism Types for Dual Complexes of Surfaces [D. Cartwright]
• Analytification and Tropicalization over Non-Archimedean Fields [A. Werner]
• Berkovich Skeleta and Birational Geometry [J. Nicaise]
• Metrization of Differential Pluriforms on Berkovich Analytic Spaces [M. Temkin]
• Skeletons and Fans of Logarithmic Structures [D. Abramovich, Q. Chen, S. Marcus, M. Ulirsch, and J. Wise]
• Introduction to Adic Tropicalization [T. Foster]
• Degeneration of Linear Series from the Tropical Point of View and Applications [M. Baker and D. Jensen]
• Matroid Theory for Algebraic Geometries [E. Katz]. .