Foundations of Rigid Geometry I (EMS Monographs in Mathematics) by Kazuhiro Fujiwara (PDF)

Description

Rigid geometry is one of the modern branches of algebraic and arithmetic geometry. It has its historical origin in J. Tate’s rigid analytic geometry, which aimed at developing an analytic geometry over non-archimedean valued fields. Today rigid geometry is a discipline in its own right and has acquired vast and rich structures based on discoveries of its relationship with birational and formal geometries. In this research monograph, foundational aspects of rigid geometry are discussed, with an emphasis on birational and topological features of rigid spaces. Besides the rigid geometry itself, topics include the general theory of formal schemes and formal algebraic spaces, based on a theory of complete rings which are not necessarily Noetherian. Also included is a discussion of the relationship with Tate’s original rigid analytic geometry, V. G. Berkovich’s analytic geometry, and R. Huber’s adic spaces. As a model example of applications, a proof of Nagata’s compactification theorem for schemes is given in the appendix. The book is encyclopedic and almost self contained.

User’s Reviews

Editorial Reviews: About the Author Kazuhiro Fujiwara: Nagoya University, Japan, Fumiharu Kato: Tokyo Institute of Technology, Japan A publication of the European Mathematical Society

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Foundations of Rigid Geometry I (EMS Monographs in Mathematics) in PDF format
Foundations of Rigid Geometry I (EMS Monographs in Mathematics) PDF Free Download
Download Foundations of Rigid Geometry I (EMS Monographs in Mathematics) 2018 PDF Free
Foundations of Rigid Geometry I (EMS Monographs in Mathematics) 2018 PDF Free Download
Download Foundations of Rigid Geometry I (EMS Monographs in Mathematics) PDF
Free Download Ebook Foundations of Rigid Geometry I (EMS Monographs in Mathematics)