On the structure of the fundamental étale group of normal schemes

Authors

  • Ronald Jesús Mas Huamán Instituto de Matemática y Ciencias Afines, Universidad Nacional de Ingeniería, Perú.

DOI:

https://doi.org/10.17268/sel.mat.2025.01.10

Keywords:

Normal schemes, étale topology, étale fundamental group

Abstract

The étale fundamental group is a central tool in algebraic geometry that generalizes the topological fundamental group to the context of schemes. In this article, we explore its behavior for normal schemes, highlighting its relationship to arithmetic and geometric invariants.

References

Murre JP. Lectures on an introduction to Grothendieck’s theory of the fundamental group, Tata Institute of Fundamental Research, Bombay, Notes by S. Anantharaman, Tata Institute of Fundamental Research Lectures on Mathematics, No 40, 1967.

Harstshorne R. Algebraic Geometry, University of California, Editorial Board. San Francisco- USA. 1997.

Milne JS. Lectures on Étale Cohomology, Princeton University press Princeton, New Jersey. 1980.

Szamuely T. Galois Groups and Fundamental Groups. Cambridge Studies in Advanced Mathematics. 2010.

Artin M. Grothendieck topologies. Harvard Uinversity, Dpt. of Math. 1962.

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Published

2025-07-26

How to Cite

Mas Huamán, R. J. (2025). On the structure of the fundamental étale group of normal schemes. Selecciones Matemáticas, 12(01), 123 - 131. https://doi.org/10.17268/sel.mat.2025.01.10

Issue

Vol. 12 No. 01 (2025): January - July

Section

Articles

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