Model theory | Algebraic curves | Vector bundles

Zariski geometry

In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation of the Zariski topology on an algebraic curve, and all its powers. The Zariski topology on a product of algebraic varieties is very rarely the product topology, but richer in closed sets defined by equations that mix two sets of variables. The result described gives that a very definite meaning, applying to projective curves and compact Riemann surfaces in particular. (Wikipedia).

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Quantifier elimination | Algebraically closed field | Algebraic curve | Tuple | Noetherian topological space | Mathematics | Zariski topology | Parametric family | Product topology