Icosahedron in birational geometry
Yuri Prokhorov
TL;DR
This paper investigates the rationality of quotients of projective and affine spaces under icosahedral group actions, contributing to the understanding of symmetry and rationality in algebraic geometry.
Contribution
It provides new insights into the rationality problems associated with icosahedral group actions on algebraic varieties.
Findings
Identifies conditions under which quotients are rational.
Classifies certain quotients related to the icosahedral group.
Advances understanding of symmetry in birational geometry.
Abstract
We study quotients of projective and affine spaces by various actions of the icosahedral group. Basically we concentrate on the rationality questions.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Mathematics and Applications