K\"ahler duality and projective embeddings

TL;DR

This paper explores Kähler duality, a concept inspired by the duality between Hermitian symmetric spaces, and investigates its implications for projective embeddings of complex domains.

Contribution

It introduces the concept of Kähler duality for complex domains, extending duality theory to new settings and examining its geometric and algebraic properties.

Findings

Kähler duality generalizes classical duality concepts.

Establishes conditions for projective embeddings related to Kähler duality.

Provides insights into the structure of complex domains via duality.

Abstract

Motivated by the duality theory between Hermitian symmetric spaces of noncompact and compact types, we introduce and examine the concept of K\"ahler duality between domains of $\mathbb C^n$.