Title: Gauss-Bonnet Theorem for Singular Projective Curves

Abstract: We provide a generalization of the Gauss-Bonnet theorem to singular irreducible projective algebraic curves. For any singular curve C with singularity set Σ, we prove that if one integrates the Gaussian curvature provided by restricting the Fubini-Study metric to the noncompact manifold C \ Σ that the result is well defined and equal 2π times the Euler characteristic of C’s desingularization plus finitely many correction terms specified by the structure of C’s singularities.