Forms and complex manifolds

Cinzia Bisi

doi:10.4171/emss/109

Forms and complex manifolds

2025-12-01

0

PRE

AI

DOI：10.4171/emss/109

Original request for help

Save

Abstract

En 中文

We study the intersection form F-X on the second cohomology group H-2(X, Z) of a compact Kahler manifold X of dimension n. Although the structure of F-X is relatively well understood in dimensions two and three, much less is known for n >= 4. We investigate the fundamental properties of F-X in higher dimensions and discuss several applications to birational geometry. Finally, we present a number of open problems concerning the relationship between birational invariants and topological invariants of Kahler manifolds.

Keywords:

intersection forms

complex manifolds

blow-up

topology of algebraic varieties

Chern numbers

Forms and complex manifolds

Abstract

Journal

Organization