Student Algebraic Geometry Seminar


Title: A little on Zariski decompositions


Abstract: Zariski decompositions are a useful tool in the study of volumes of Cartier divisors on projective surfaces. It shows how from an asymptotic perspecitve, a pseudo-effective divisor behaves a lot like a nef divisor. We define Zariski decompositions on surfaces in the projective and in the relative setting. We compute examples and list a few applications. If time permits, we will also discuss generalizations to higher dimension.