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https://arxiv.org/abs/1811.09823 Algebraic flows on commutative complex Lie groups Tien-Cuong Dinh, Duc-Viet Vu (Submitted on 24 Nov 2018) We recover results by Ullmo-Yafaev and Peterzil-Starchenko on the closure of the image of an algebraic variety in a compact complex torus. Our approach uses directed closed currents and allows us to extend the result for dimension 1 flows to the setting of commutative complex Lie groups which are not necessarily compact. A version of the classical Ax-Lindemann-Weierstrass theorem for commutative complex Lie groups is also given. Добавить комментарий: |
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