Symplectic blowing down in dimension Six

TL;DR

This paper introduces a criterion for simplifying six-dimensional symplectic manifolds by blowing down, advancing the understanding of birational transformations in symplectic geometry.

Contribution

It provides the first blowing down criterion specific to six-dimensional symplectic manifolds within birational symplectic geometry.

Findings

Established a blowing down criterion in dimension six

Enhanced understanding of birational symplectic transformations

Paved the way for further classification of symplectic manifolds

Abstract

We establish a blowing down criterion in the context of birational symplectic geometry in dimension 6.