Algebraic and o-minimal flows on complex and real tori

Ya'acov Peterzil; Sergei Starchenko

doi:10.1016/j.aim.2018.05.040

Algebraic and o-minimal flows on complex and real tori

Ya'acov Peterzil
, Sergei Starchenko

Department of Mathematics

University of Haifa

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

Abstract

We consider the covering map π:Cⁿ→T of a compact complex torus. Given an algebraic variety X⊆Cⁿ we describe the topological closure of π(X) in T. We obtain a similar description when T is a real torus and X⊆Rⁿ is a set definable in an o-minimal structure over the reals.

Original language	English
Pages (from-to)	539-569
Number of pages	31
Journal	Advances in Mathematics
Volume	333
DOIs	https://doi.org/10.1016/j.aim.2018.05.040
State	Published - 31 Jul 2018

Keywords

Algebraic flows
Algebraically closed valued fields
O-minimal
O-minimal flows
Orbit closure

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2018.05.040

Cite this

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title = "Algebraic and o-minimal flows on complex and real tori",

abstract = "We consider the covering map π:Cn→T of a compact complex torus. Given an algebraic variety X⊆Cn we describe the topological closure of π(X) in T. We obtain a similar description when T is a real torus and X⊆Rn is a set definable in an o-minimal structure over the reals.",

keywords = "Algebraic flows, Algebraically closed valued fields, O-minimal, O-minimal flows, Orbit closure",

author = "Ya'acov Peterzil and Sergei Starchenko",

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year = "2018",

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AU - Starchenko, Sergei

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N2 - We consider the covering map π:Cn→T of a compact complex torus. Given an algebraic variety X⊆Cn we describe the topological closure of π(X) in T. We obtain a similar description when T is a real torus and X⊆Rn is a set definable in an o-minimal structure over the reals.

AB - We consider the covering map π:Cn→T of a compact complex torus. Given an algebraic variety X⊆Cn we describe the topological closure of π(X) in T. We obtain a similar description when T is a real torus and X⊆Rn is a set definable in an o-minimal structure over the reals.

KW - Algebraic flows

KW - Algebraically closed valued fields

KW - O-minimal

KW - O-minimal flows

KW - Orbit closure

UR - https://www.scopus.com/pages/publications/85048491686

U2 - 10.1016/j.aim.2018.05.040

DO - 10.1016/j.aim.2018.05.040

M3 - Article

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SP - 539

EP - 569

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Algebraic and o-minimal flows on complex and real tori

Abstract

Keywords

ASJC Scopus subject areas

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