Fundamentals of diophantine geometry / by Lang, Serge, 1927-

Fundamental groups and Diophantine geometry by Kim Minhyong

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Fundamental groups and Diophantine geometry by Kim, M

Galois theory and Diophantine geometry by Kim, M

Fundamental groups and Diophantine geometry by Kim, M

Diophantine geometry as Galois theory in the mathematics of Serge Lang by Kim, M

“…A remark about the role of Galois theory in Diophantine geometry as reflected in the work of Serge Lang. …”

Diophantine geometry and non-abelian reciprocity laws I by Kim, M

The motivic fundamental group of the projective line minus three points and the theorem of Siegel by Kim, M

“…In this paper, we establish a link between the structure theory of the pro-unipotent motivic fundamental group of the projective line minus three points and Diophantine geometry. In particular, we give a p-adic proof of Siegel's theorem.…”

Galois actions on non-abelian finite groups and applications by Lim, J

“…We also find its applications to some questions in the realm of Diophantine geometry.</p>…”

Lattices and Rational Points by Evelina Viada

“…In this article, we show how to use the first and second Minkowski Theorems and some Diophantine geometry to bound explicitly the height of the points of rank N - 1 on transverse curves in E N , where E is an elliptic curve without Complex Multiplication (CM). …”
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Special arithmetic of flavor by Matteo Caorsi, Sergio Cecotti

“…Abstract We revisit the classification of rank-1 4d N=2 $$ \mathcal{N}=2 $$ QFTs in the spirit of Diophantine Geometry, viewing their special geometries as elliptic curves over the chiral ring (a Dedekind domain). …”
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