Marked length varieties and arithmeticity
Yanlong Hao
TL;DR
This paper presents an example of a non-arithmetic surface that exhibits marked length variety rigidity, challenging previous assumptions about the relationship between arithmeticity and geometric rigidity.
Contribution
It provides a specific example demonstrating that non-arithmetic surfaces can still have rigid marked length varieties, expanding understanding of geometric structures.
Findings
Non-arithmetic surface with marked length variety rigidity
Counterexample to the assumption that rigidity implies arithmeticity
Insights into the relationship between surface geometry and arithmetic properties
Abstract
This paper gives an example of a non-arithmetic surface with marked length variety rigidity.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Advanced Mathematical Identities