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math.AG2025
A Kronecker algorithm for locally closed sets over a perfect field
Nardo Giménez, Joos Heintz, Guillermo Matera +3
We develop a probabilistic algorithm of Kronecker type for computing a Kronecker representation of a zero-dimensional linear section of an algebraic variety defined over a perf…
math.NT2025
Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields
Miriam Abdon, Daniela Alves de Oliveira, Juliane Capaverde +2
Let denote the number of solutions to the generalized Markoff-Hurwitz-type equation \[(a_1X_1^m+\cdots + a_nX_n^m+a)^k=bX_1\cdots X_n \] over the finite field , w…