Abstract
We give a computable lower bound for the distance between two distinct periods of a given quartic surface defined over the algebraic numbers. The main ingredient is the determination of height bounds on components of the Noether–Lefschetz loci. This makes it possible to study the Diophantine properties of periods of quartic surfaces and to certify a part of the numerical computation of their Picard groups.
| Original language | English |
|---|---|
| Pages (from-to) | 1753-1778 |
| Number of pages | 26 |
| Journal | Algebra and Number Theory |
| Volume | 17 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1 Jan 2023 |
| Externally published | Yes |
Keywords
- Diophantine approximation
- Hodge loci
- K3 surfaces
- effective mathematics
- periods
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