Università Roma Tre

Introduction to canonical models of curves

General goals:
Canonical curves in very low gens
Classical varieties related to canonical curves
The family of canonical curves.
Synthesis of the Program:
Linear systems on curves. The canonical linear system.
Canonical curves and classical projective varieties.
Quadrics through the canonical curves: Noether-Enriques-Kempf theorems.
Mukai constructions in low genus.

Notes from the lectures.
Among the references book:
E. Arbarello, M. Cornalba, P.A. Griffiths, J. Harris Geometry of Algebraic Curves I