On logarithmic paper some real algebraic curves look like smoothed
broken lines. Moreover, the broken lines can be obtained as limits of
those curves. The corresponding deformation can be viewed as a
quantization, in which the broken line is a classical object and the
curves are quantum. This generalizes to a new connection between
algebraic geometry and the geometry of polyhedra, which is more
straight-forward than the other known connections and gives a new
insight into constructions used in the topology of real algebraic
varieties.

- 1 Graphs of polynomials on logarithmic

paper - 2 Quantization
- 3 Algebraic geometry on logarithmic paper
- 4 Patchworking real algebraic curves
- Bibliography
- About this document ...

Oleg Viro 2001-01-01