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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

4 votes

Is Zariski closure of finitely generated matrix semigroup computable?

This problem has been solved (the answer is 'yes') in the paper "Polynomial Invariants for Affine Programs", by Ehud Hrushovski, Joël Ouaknine, Amaury Pouly, and James Worrell, published in the Procee …
Joël Ouaknine's user avatar
10 votes
1 answer
350 views

Is Zariski closure of finitely generated matrix semigroup computable?

In general, can the Zariski closure of the semigroup of matrices $\langle M_1, \ldots, M_k \rangle$ be algorithmically computed (at least in theory)? For this purpose I'm happy to assume the matrice …