The balanced cone of the small resolution of the quintic conifold

TL;DR

This paper explicitly determines the balanced cone of the small resolution of the quintic conifold using intersection numbers, providing precise geometric information about this complex structure.

Contribution

It introduces a method to explicitly compute the balanced cone of the small resolution of the quintic conifold via intersection theory.

Findings

Explicit description of the balanced cone

Application of intersection numbers to complex geometry

Enhanced understanding of the quintic conifold resolution

Abstract

In this note, we use the intersection number to determine explicitly the balanced cone of the small resolution of the quintic conifold.