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arXiv · 1201.2708

Diophantine Approximation Groups, Kronecker Foliations and Independence

T. M. Gendron
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Abstract

We introduce diophantine approximation groups and their associated Kronecker foliations, using them to provide new algebraic and geometric characterizations of $K$-linear and algebraic dependence. As a consequence we find reformulations -- as algebraic and geometric (graph) rigidities -- of the Theorems of Baker and Lindemann-Weierstrass, the Logarithm Conjecture and the Schanuel Conjecture. There is an Appendix describing diophantine approximation groups as model theoretic types.

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T. M. Gendron. 2012-01-12. Diophantine Approximation Groups, Kronecker Foliations and Independence. https://arxiv.org/abs/1201.2708

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