This is a brief exposition on the uses of non-commutative fundamental groups in the study of Diophantine problems.
@article{bwmeta1.element.doi-10_2478_s11533-010-0047-y, author = {Minhyong Kim}, title = {Fundamental groups and Diophantine geometry}, journal = {Open Mathematics}, volume = {8}, year = {2010}, pages = {633-645}, zbl = {1203.14030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0047-y} }
Minhyong Kim. Fundamental groups and Diophantine geometry. Open Mathematics, Tome 8 (2010) pp. 633-645. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0047-y/
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