Abstract
A simple example shows that the δ-Lüroth problem in two variables admits a negative answer: we exhibit a subextension of a differentially transcendental field extension of degree 2 of an algebraically closed differential field, which is not differentially transcendental.
| Translated title of the contribution | Une réponse négative au problème de Lüroth différentiel en dimension 2 |
|---|---|
| Original language | English |
| Pages (from-to) | 881-886 |
| Number of pages | 6 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 327 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1 Jan 1998 |
| Externally published | Yes |