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Hilbert’s Tenth Problem for Function Fields of Varieties over Algebraically Closed Fields of Positive Characteristic
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2011 |
| Abstract | Let K be the function field of a variety of dimension ≥ 2 over an algebraically closed field of odd characteristic. Then Hilbert’s Tenth Problem for K is undecidable. This generalizes the result by Kim and Roush from 1992 that Hilbert’s Tenth Problem for the purely transcendental function field Fp(t1, t2) is undecidable. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.personal.psu.edu/kxe8/krposchar.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |