UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC. (9th August 2018)
- Record Type:
- Journal Article
- Title:
- UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC. (9th August 2018)
- Main Title:
- UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
- Authors:
- SHANKAR, ANANTH N.
TSIMERMAN, JACOB - Abstract:
- Abstract : We present a heuristic argument based on Honda–Tate theory against many conjectures in 'unlikely intersections' over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian. Using methods of additive combinatorics, we answer a related question of Chai and Oort where the ambient Shimura variety is a power of the modular curve.
- Is Part Of:
- Forum of mathematics. Volume 6(2018)
- Journal:
- Forum of mathematics
- Issue:
- Volume 6(2018)
- Issue Display:
- Volume 6, Issue 2018 (2018)
- Year:
- 2018
- Volume:
- 6
- Issue:
- 2018
- Issue Sort Value:
- 2018-0006-2018-0000
- Page Start:
- Page End:
- Publication Date:
- 2018-08-09
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=FMS ↗
- DOI:
- 10.1017/fms.2018.15 ↗
- Languages:
- English
- ISSNs:
- 2050-5094
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 7076.xml