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math.AG2026
Iterated Cartier Flux and Non-Finite Generation of Tame Polynomial Automorphism Groups over Finite Fields
Stefan Barańczuk, Tomasz Ślusarski
Let be a finite field of characteristic , and let \[ U_n(k)=\{F\in\operatorname{TA}_n(k):F(0)=0,\ JF(0)=I_n\}. \] We prove that every special tame polynomial aut…
math.AG2026
Prescribed extension spectra of mock automorphisms over finite fields
Stefan Barańczuk, Tomasz Ślusarski
We classify the finite-extension permutation spectra occurring in an explicit family of mock automorphisms over finite fields. Every finite nonempty divisor-closed subset of $\N_{>…
math.AG2019
Reducing the number of equations defining a subset of the -space over a finite field
Stefan Barańczuk
Let be polynomials defining an algebraic set in affine -space over a finite field. Suppose . We prove that there exists a system of polynomials $g_{1…