Complex geometry and algebraic geometry are intertwined disciplines that investigate spaces defined by complex analytic structures and polynomial equations. Complex geometry focuses on complex ...

Abstract: In the late 1970s, R. Hamilton initiated a program to extend the Kodaira-Spencer's elliptic deformation theory of complex structures to manifolds with boundary. The stable case can be stated ...

In the past two years, we have seen spectacular developments in elliptic PDE methods applied to complex geometry. Highlights include the L-infinity estimates for solutions to complex Monge-Ampere ...

A compact complex space X is viewed as a 1-st order structure by taking predicates for analytic subsets of X, X x X,... as basic relations. Let f : X → Y be a ...