On the Theory of Specialisations of Regular Covers of Zariski Structures

Autor:	Efem, Ugur, Zilber, Boris
Rok vydání:	2023
Předmět:	Mathematics - Logic Mathematics - Algebraic Geometry Primary: 03C07 03C10 03C35 03C50 03C52 Secondary: 14A99 18F15 55R65 57R22
Druh dokumentu:	Working Paper
Popis:	In algebraic geometry specialisations and valuations play and important role. In this paper we start investigating analogous structures for Zariski structures. Specifically, we look into the existence and uniqueness properties of extensions of universal specialisations from a base Zariski structure to its regular cover. In the process we begin to uncover some structural properties of regular covers of Zariski structures, and also to uncover the type of topological properties necessary for a Zariski structure to have a "good" theory of specialisations. A subclass of Zariski structures is identified with a ``good'' theory of specialisations. Comment: 38 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.08542 Zobrazit plný text záznamu View this record from Arxiv