Endomorphisms of symbolic algebraic varieties

Authors: Gromov Misha

Publish Date: 1999-06-30

Volume: 1, Issue: 2, Pages: 109-197

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Abstract

The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or noninjective this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces We show that such maps are surjunctive if they commute with sufficiently large automorphism groups Of particular interest is the case of proalgebraic varieties over infinite graphs The paper intends to bring out relations between model theory algebraic geometry and symbolic dynamics

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