Seminar in Real and Complex Geometry

Tuesday, 31.05.2016, 11:00-12:00, Schreiber building, room 209

Askold Khovanskii University of Toronto

Newton polyhedra and components of complete intersections


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.