Algebraic quotients and Geometric Invariant Theory

Authors

DOI:

https://doi.org/10.17268/sel.mat.2020.01.09

Keywords:

Geometric invariant theory, Hilbert-Mumford criterion

Abstract

The quotient of an algebraic variety by action of an algebraic group does not always has a variety structure. The aim of this work is to describe a methodfor constructing good quotients, in the sense of Geometric invariant theory, in algebraicgeometry.

References

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Haboush W. Reductive Groups are Geometrically Reductive. Annals of Mathematics. Second Series. 1995; 102(1):67–83.

Mukai S, Oxbury W. An introduction to Invariants and Moduli. Cambridge University Press; 2003.

Mumford D, Fogarty J, Kirwan F. Geometric Invariant Theory. Tercera edici´on. Springer; 34; 1994.

Nagata M. Lectures on the Fourteenth Problem of Hilbert. Tata Institute of Fundamental Research; 1965.

Newstead P. Geometric Invariant Theory. CIMAT: Guanajuato; 2006.

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Published

2020-07-25

How to Cite

Medina García, N. (2020). Algebraic quotients and Geometric Invariant Theory. Selecciones Matemáticas, 7(01), 108-114. https://doi.org/10.17268/sel.mat.2020.01.09

Issue

Vol. 7 No. 01 (2020): January - July

Section

Articles

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