Large unions of generalized integral sections on elliptic surfaces
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Publication:6653780
DOI10.1090/TRAN/9325MaRDI QIDQ6653780
Publication date: 17 December 2024
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
function fieldsRiemann surfacehyperbolicityelliptic surfaceSiegel's theoremunit equationgeneralized integral section
Families, moduli of curves (algebraic) (14H10) Elliptic curves (14H52) Riemann surfaces; Weierstrass points; gap sequences (14H55) Algebraic functions and function fields in algebraic geometry (14H05)
Cites Work
- The canonical height and integral points on elliptic curves
- On S-unit equations in two unknowns
- Galois Cohomology
- Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
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- On elliptic modular surfaces
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- Compact Manifolds and Hyperbolicity
- On equations in two S-units over function fields of characteristic 0
- Holomorphic Maps to Complex Tori
- Variation of canonical height and equidistribution
- Abelian Varieties Over Function Fields
- ON ABELIAN VARIETIES OVER FUNCTION FIELDS
- Finiteness criteria and uniformity of integral sections in some families of abelian varieties
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