Generic expansion of an abelian variety by a subgroup. Issue 4 (5th November 2021)
- Record Type:
- Journal Article
- Title:
- Generic expansion of an abelian variety by a subgroup. Issue 4 (5th November 2021)
- Main Title:
- Generic expansion of an abelian variety by a subgroup
- Authors:
- d'Elbée, Christian
- Abstract:
- Abstract: Let A be an abelian variety in an algebraically closed field of characteristic 0. We prove that the expansion of A by a generic divisible subgroup of A with the same torsion exists provided A has few algebraic endomorphisms, namely End ( A ) = Z . The resulting theory is NSOP1 and not simple. Note that there exist abelian varieties A with End ( A ) = Z of any genus.
- Is Part Of:
- Mathematical logic quarterly. Volume 67:Issue 4(2021)
- Journal:
- Mathematical logic quarterly
- Issue:
- Volume 67:Issue 4(2021)
- Issue Display:
- Volume 67, Issue 4 (2021)
- Year:
- 2021
- Volume:
- 67
- Issue:
- 4
- Issue Sort Value:
- 2021-0067-0004-0000
- Page Start:
- 402
- Page End:
- 408
- Publication Date:
- 2021-11-05
- Subjects:
- Mathematics -- Periodicals
Logic, Symbolic and mathematical -- Periodicals
511.3 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3870 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/malq.202000017 ↗
- Languages:
- English
- ISSNs:
- 0942-5616
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5402.430000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 20213.xml