This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre?Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila?Wilkie theorem, bounds o…
This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a comple…
This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a comple…
by Fu, Lei, World Scientific (Firme)
fromNankai tracts in mathematics
"Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, …
"Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, …
by Scholze, Peter, Weinstein, Jared
fromAnnals of mathematics studies
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his d…
by Scholze, Peter, Weinstein, Jared
fromAnnals of mathematics studies
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his d…
by Scholze, Peter, Weinstein, Jared
fromAnnals of mathematics studies
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his d…
by Coray, D. F., (Daniel F.), Steinig, John, Manoil, Constantin
fromUniversitext
This English translation of Daniel Corays original French textbook Notes de géométrie et darithmétique introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the mo…
This English translation of Daniel Corays original French textbook Notes de géométrie et darithmétique introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the mo…
