Abstract
We consider diophantine subsets of function fields of curves and show, roughly speaking, that they are either very small or very large. In particular, this implies that the ring of polynomials k[t] is not a diophantine subset of the field of rational functions k(t) for many fields k.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 299-311 |
| Number of pages | 13 |
| Journal | Algebra and Number Theory |
| Volume | 2 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Keywords
- Diophantine set
- Rationally connected variety