- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:04
Journal of the European Mathematical Society
J. Eur. Math. Soc.
JEMS
1435-9855
1435-9863
General
10.4171/JEMS
http://www.ems-ph.org/doi/10.4171/JEMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
1
1999
2
Endomorphisms of symbolic algebraic varieties
Misha
Gromov
Le Bois-Marie, BURES-SUR-YVETTE, FRANCE
The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; 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.
Algebraic geometry
General
109
197
10.1007/PL00011162
http://www.ems-ph.org/doi/10.1007/PL00011162