On the number of Enriques quotients of a K3 surface
Hisanori Ohashi
TL;DR
This paper investigates the quantity of Enriques quotients of a K3 surface, establishing their finiteness and unboundedness, and provides a complete classification for a specific Kummer surface example.
Contribution
It proves the finiteness and unboundedness of Enriques quotients and classifies all such quotients for a particular Kummer surface example.
Findings
Number of Enriques quotients is finite for fixed K3 surfaces.
Number of Enriques quotients can be unbounded.
Complete classification achieved for a specific Kummer surface.
Abstract
In this paper we discuss the number of Enriques quotients of a fixed K3 surface. We prove the finiteness and unboundedness of the number. We also show an example of Kummer surface of product type where we can successfully classify all the Enriques quotients.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation