# A Lecture on Holomorphic Anomaly Equations and Extended Holomorphic Anomaly Equations

## TL;DR

This paper introduces the BCOV holomorphic anomaly equations and Walcher's extended versions, providing foundational insights into their structure and implications in complex geometry and string theory.

## Contribution

It offers a concise overview of the original and extended holomorphic anomaly equations, clarifying their mathematical formulation and significance.

## Key findings

- Clarified the structure of BCOV equations
- Explained Walcher's extensions to the anomaly equations
- Provided insights into their applications in geometry and physics

## Abstract

This is a brief introduction to the Bershadsky-Cecotti-Ooguri-Vafa (BCOV) holomorphic anomaly equations and Walcher's extended holomorphic anomaly equations.