Linking complex analytic to nonstandard algebraic geometry

Adel Khalfallah; Siegmund Kosarew

doi:10.1007/s12188-020-00216-w

Linking complex analytic to nonstandard algebraic geometry

Adel Khalfallah^*, Siegmund Kosarew

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we sketch some constructions providing a link between complex-analytic geometry and nonstandard algebraic geometry via a categorical point of view. The analytic category is seen as a completed fiber of a family of nonstandard algebraic geometries by applying a standard part functor. We indicate how various notions of analytic objects fit into this context (as for example banachanalytic spaces, Kähler spaces etc.)

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	90
Issue number	1
DOIs	https://doi.org/10.1007/s12188-020-00216-w
State	Published - 1 Apr 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg.

Keywords

Analytic versus algebraic geometry
Kähler spaces
Nonstandard numbers and methods

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s12188-020-00216-w

Cite this

@article{93166958c93342b5b8ea209c62e0d412,

title = "Linking complex analytic to nonstandard algebraic geometry",

abstract = "In this paper, we sketch some constructions providing a link between complex-analytic geometry and nonstandard algebraic geometry via a categorical point of view. The analytic category is seen as a completed fiber of a family of nonstandard algebraic geometries by applying a standard part functor. We indicate how various notions of analytic objects fit into this context (as for example banachanalytic spaces, K{\"a}hler spaces etc.)",

keywords = "Analytic versus algebraic geometry, K{\"a}hler spaces, Nonstandard numbers and methods",

author = "Adel Khalfallah and Siegmund Kosarew",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s), under exclusive licence to Mathematisches Seminar der Universit{\"a}t Hamburg.",

year = "2020",

month = apr,

day = "1",

doi = "10.1007/s12188-020-00216-w",

language = "English",

volume = "90",

pages = "1--15",

journal = "Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg",

issn = "0025-5858",

number = "1",

}

TY - JOUR

T1 - Linking complex analytic to nonstandard algebraic geometry

AU - Khalfallah, Adel

AU - Kosarew, Siegmund

PY - 2020/4/1

Y1 - 2020/4/1

N2 - In this paper, we sketch some constructions providing a link between complex-analytic geometry and nonstandard algebraic geometry via a categorical point of view. The analytic category is seen as a completed fiber of a family of nonstandard algebraic geometries by applying a standard part functor. We indicate how various notions of analytic objects fit into this context (as for example banachanalytic spaces, Kähler spaces etc.)

AB - In this paper, we sketch some constructions providing a link between complex-analytic geometry and nonstandard algebraic geometry via a categorical point of view. The analytic category is seen as a completed fiber of a family of nonstandard algebraic geometries by applying a standard part functor. We indicate how various notions of analytic objects fit into this context (as for example banachanalytic spaces, Kähler spaces etc.)

KW - Analytic versus algebraic geometry

KW - Kähler spaces

KW - Nonstandard numbers and methods

UR - https://www.scopus.com/pages/publications/85085881252

U2 - 10.1007/s12188-020-00216-w

DO - 10.1007/s12188-020-00216-w

M3 - Article

AN - SCOPUS:85085881252

SN - 0025-5858

VL - 90

SP - 1

EP - 15

JO - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

JF - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

IS - 1

ER -

Linking complex analytic to nonstandard algebraic geometry

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this