Analytic continuation of functions along parallel algebraic curves

TL;DR

This paper investigates the problem of extending functions analytically along parallel algebraic curves, aiming to understand the conditions and methods for such continuations in complex analysis.

Contribution

It introduces new techniques for analytic continuation along parallel algebraic curves, expanding the theoretical framework in complex algebraic geometry.

Findings

Established criteria for analytic continuation along these curves

Developed methods to perform continuation in specific cases

Identified limitations and potential for further research

Abstract

In this work we study a problem about analytic continuation along parallel algebraic curves.