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ZariskiFrames

(Co)frames/Locales of Zariski closed/open subsets of affine, projective, or toric varieties

2024.05-01

4 May 2024

Mohamed Barakat
Email: mohamed.barakat@uni-siegen.de
Homepage: https://mohamed-barakat.github.io
Address:
Walter-Flex-Str. 3
57068 Siegen
Germany

Tom Kuhmichel
Email: tom.kuhmichel@student.uni-siegen.de
Homepage: https://github.com/TKuh
Address:
Walter-Flex-Str. 3
57068 Siegen
Germany

Markus Lange-Hegermann
Email: markus.lange-hegermann@th-owl.de
Homepage: https://www.th-owl.de/eecs/fachbereich/team/markus-lange-hegermann/
Address:
Markus Lange-Hegermann
Hochschule Ostwestfalen-Lippe
Liebigstra├če 87
32657 Lemgo
Germany

Contents

1 (Co)frames/Locales of Zariski closed/open subsets
2 Frames of Zariski open subsets
3 Coframes of Zariski closed subsets
4 (Co)frames/Locales of Zariski closed/open subsets in affine varieties
5 The frame of Zariski open subsets in an affine variety
6 The coframe of Zariski closed subsets in an affine variety
7 Relative affine varieties
8 (Co)frames/Locales of Zariski closed/open subsets in projective varieties
9 The frame of Zariski open subsets in a projective variety
10 The coframe of Zariski closed subsets in a projective variety
11 Relative projective varieties
12 Constructible image
13 Further examples
Index

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