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math.AG2024
Arithmetic aspects of discrete periodic Toda flows
Bora Yalkinoglu
We construct a new algebraic linearization of the discrete periodic Toda flow by using Mumford's algebraic description of the Jacobian of a hyperelliptic curve. In particular, the…
math.NT2024
A note on Shintani's invariants
Bora Yalkinoglu
Shintani's celebrated invariants are conjectured to generate abelian extensions of real quadratic number fields, offering a potential solution to Hilbert's 12th problem in that set…