Seminar in Real and Complex Geometry
Tuesday, 31.05.2016, 11:0012:00,
Schreiber
building, room 209
Askold Khovanskii
University of Toronto
Newton polyhedra and components of complete intersections
Abstract
Newton polyhedra theory studies an algebraic variety X defined in (C^*)^n by
a generic system of equations with given Newton polyhedra. A lot of "natural"
discrete invariants of X can be computed in terms of Newton polyhedra. Such
computations provide a bridge between convex geometry and algebraic geometry
which is useful in both directions. In the talk I will present a formula for
the number of irreducible components of X and will explain
how to compute discrete
invariants
of each component.
