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Large rank jumps on elliptic surfaces and the Hilbert property
- Publication Year :
- 2022
-
Abstract
- Given a rational elliptic surface over a number field, we study the collection of fibers whose Mordell--Weil rank is greater than the generic rank. We give conditions on the singular fibers to assure that the collection of fibers for which the rank jumps of at least 3 is not thin.
- Subjects :
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
14G05, 14J27, 11G05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2205.07801
- Document Type :
- Working Paper