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Stability conditions on some families of Calabi-Yau threefolds via orbifolding

Howard Nuer

Abstract

We prove that families of Calabi-Yau threefolds (CY3's) admit Bridgeland stability conditions when they are obtained via orbifolding from a family of CY3's admitting Bridgeland stability conditions. In particular, we prove that the quintic mirror admits Bridgeland stability conditions.

Stability conditions on some families of Calabi-Yau threefolds via orbifolding

Abstract

We prove that families of Calabi-Yau threefolds (CY3's) admit Bridgeland stability conditions when they are obtained via orbifolding from a family of CY3's admitting Bridgeland stability conditions. In particular, we prove that the quintic mirror admits Bridgeland stability conditions.
Paper Structure (1 section, 2 theorems, 1 equation)

This paper contains 1 section, 2 theorems, 1 equation.

Table of Contents

  1. Acknowledgements

Key Result

Theorem 1

Let $X$ be a smooth Calabi-Yau threefold admitting Bridgeland stability conditions as in BMT14a. Then any smooth member $Y$ of a family of CY3's obtained via smooth orbifolding admits Bridgeland stability conditions.

Theorems & Definitions (7)

  • Theorem 1
  • proof
  • Corollary 2
  • proof
  • Remark 3
  • Remark 4
  • Remark 5