Orbits on K3 Surfaces of Markoff Type
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Publication:6657561
DOI10.1080/10586458.2023.2239265MaRDI QIDQ6657561
Elena Fuchs, Austin Tran, Matthew Litman, Joseph H. Silverman
Publication date: 6 January 2025
Published in: Experimental Mathematics (Search for Journal in Brave)
(K3) surfaces and Enriques surfaces (14J28) Arithmetic properties of periodic points (37P35) Arithmetic dynamics on general algebraic varieties (37P55) Dynamical systems over finite ground fields (37P25) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Cites Work
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- Coregular spaces and genus one curves
- Canonical vector heights on \(K3\) surfaces -- a nonexistence result
- Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields
- Markoff triples and strong approximation
- Algebraic solutions of the sixth Painlevé equation
- Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
- Rational points on K3 surfaces: A new canonical height
- The exponent for the Markov-Hurwitz equations
- The Magma algebra system. I: The user language
- Monodromy of certain Painlevé-VI transcendents and reflection groups
- A modular Szemerédi-Trotter theorem for hyperbolas
- The cycle structure of a Markoff automorphism over finite fields
- An asymptotic formula for integer points on Markoff-Hurwitz varieties
- The fifty-two icosahedral solutions to Painlevé VI
- Rational curves on K3 surfaces in ℙ¹×ℙ¹×ℙ¹
- Canonical Vector Heights on Algebraic K3 Surfaces with Picard Number Two
- Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence
- On the Structure of Graphs of Markoff Triples
- Dynamics of automorphisms of \(K3\) surfaces
- On indefinite binary quadratic forms.
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