The paper claims persistence of extendable Galois points under prime reduction for all but finitely many primes, with a quartic classification, but the inner persistence theorem rests on an invalid inference about the open set U.
Galois points for a finite graph
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This paper introduces the notion of a Galois point for a finite graph, using the theory of linear systems of divisors for graphs discovered by Baker and Norine. We present a new characterization of complete graphs in terms of Galois points.
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Persistence of Galois property of hypersurfaces over algebraic integers across other characteristics
The paper claims persistence of extendable Galois points under prime reduction for all but finitely many primes, with a quartic classification, but the inner persistence theorem rests on an invalid inference about the open set U.