Doações 15 de Setembro 2024 – 1º de Outubro 2024 Sobre a angariação de fundos

Foundations of Rigid Geometry I

Foundations of Rigid Geometry I

Kazuhiro Fujiwara, Fumiharu Kato
Quanto Você gostou deste livro?
Qual é a qualidade do ficheiro descarregado?
Descarregue o livro para avaliar a sua qualidade
De que qualidade são os ficheiros descarregados?
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. Nowadays, 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, putting 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 on 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.
Keywords: Rigid geometry, formal geometry, birational geometry
Categorias:
Ano:
2018
Editora:
European Mathematical Society
Idioma:
english
Páginas:
863
ISBN 10:
303719135X
ISBN 13:
9783037191354
Série:
EMS Monographs in Mathematics
Arquivo:
PDF, 6.74 MB
IPFS:
CID , CID Blake2b
english, 2018
Ler online
A converter para
Conversão para falhou

Frases chave