The homotopy sequence of the algebraic fundamental group
Lei Zhang

TL;DR
This paper proves that the homotopy sequence of the algebraic fundamental group is exact over fields of characteristic zero, clarifying a key property in algebraic topology and algebraic geometry.
Contribution
It establishes the exactness of the homotopy sequence of the algebraic fundamental group in characteristic zero, a result not previously confirmed.
Findings
Homotopy sequence is exact in characteristic zero
Provides foundational understanding for algebraic fundamental groups
Clarifies behavior of algebraic fundamental groups in characteristic zero
Abstract
In this note, we prove that the homotopy sequence of the algebraic fundamental group is exact if the base field is of characteristic 0.
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