Automorphism groups of smooth quintic threefolds
Keiji Oguiso, Xun Yu

TL;DR
This paper classifies all maximal automorphism groups of smooth quintic threefolds, providing explicit examples and identifying exactly 22 such groups, advancing understanding of symmetries in algebraic geometry.
Contribution
It explicitly describes all maximal automorphism groups of smooth quintic threefolds, identifying exactly 22 such groups with concrete examples.
Findings
22 maximal automorphism groups identified
Explicit examples of target quintic threefolds provided
Complete classification of these groups achieved
Abstract
We study automorphism groups of smooth quintic threefolds. Especially, we describe all the maximal ones with explicit examples of target quintic threefolds. There are exactly such groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry
