Baker Nonarchimedean and Tropical Geometry 9783319309446

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Автор: Baker
Название: Nonarchimedean and Tropical Geometry
ISBN: 9783319309446
Издательство: Springer
Классификация:

Геометрия

Алгебраическая геометрия

ISBN-10: 3319309447
Обложка/Формат: Hardback
Страницы: 526
Вес: 0.98 кг.
Дата издания: 2016
Серия: Simons Symposia
Язык: English
Иллюстрации: 79 black & white illustrations, 10 colour illustrations, biography
Размер: 170 x 249 x 40
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Thisvolume grew out of two Simons Symposia on Nonarchimedean and tropicalgeometry which took place on the island of St. John in April 2013 and inPuerto Rico in February 2015. Each meeting gathered a small group of expertsworking near the interface between tropical geometry and nonarchimedeananalytic spaces for a series of inspiring and provocative lectures on cuttingedge research, interspersed with lively discussions and collaborative work insmall groups. The articles collected here, which include high-level surveys aswell as original research, mirror the main themes of the two Symposia.Topicscovered in this volume include: Differential forms and currents, andsolutions of Monge-Ampere type differential equations on Berkovich spaces andtheir skeletons; The homotopy types of nonarchimedean analytifications;The existence of faithful tropicalizations which encode the topology andgeometry of analytifications;Relations between nonarchimedean analyticspaces and algebraic geometry, including logarithmic schemes, birationalgeometry, and the geometry of algebraic curves;Extended notions oftropical varieties which relate to Hubers theory of adic spaces analogously tothe way that usual tropical varieties relate to Berkovich spaces; and Relationsbetween nonarchimedean geometry and combinatorics, including deep andfascinating connections between matroid theory, tropical geometry, and Hodgetheory.
Дополнительное описание: 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 Ty

Nonarchimedean and Tropical Geometry, Baker