We (D. Novikov and S.Y.) launch a campaign “Learn Khovanskii–Varchenko Theorem“. A few (2-4) next weeks we will discuss in detail the proof of this remarkably simple but powerful result with a view to have a number of generalizations.
The two manuscripts (one in Russian, another in English) are available:
- Varchenko (1984) (Engl. translation)
- Khovanskii (1984), scanned (46 Mb, large!) (in Russian)
- A relevant section from Zoladek, The Monodromy Group (2006)
Time and location: Tuesdays, 16:00-18:00, Room 261 (unless otherwise announced).
The first meeting: Dec 11, 2007.
Fewnomial theory (S.Y.). This purely geometric theory starts with a multidimensional generalization of the Rolle theorem for several variables and allows to prove infinitely many both classical and new results starting from the Descartes’ rule.
If somebody has a scanned copy of the English original by Khovanskii, please post a link in comments.