From a May 2016 conference in Chicago, 15 papers explore local and global methods in algebraic geometry from such perspectives as the canonical map of some surfaces isogenous to a product, the degeneration of differentials and moduli of nodal cur...Loe edasi...
(Ilmumisaeg: 01-Jun-2018, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470440725)
In an extended version of notes for a seminar on arithmetic methods in algebraic geometry that they ran in the spring of 2011, Gorchinskiy and Shramov introduce the theory of unramified Brauer groups and their applications to stable rationality,...Loe edasi...
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Loe edasi...
(Ilmumisaeg: 01-Nov-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470437732)
Poonen introduces graduate mathematics students to the vast field of rational points by surveying many topics briefly and pointing to the literature for readers who want to learn more about any particular one. Prerequisites are algebraic geometry...Loe edasi...
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is uncon...Loe edasi...
Five sets of lecture notes prepared for mini-courses and four contributed research papers by specialists document the gathering. The topics of the expository and survey notes include some applications of p-adic uniformization to algebraic dynamics, i...Loe edasi...
(Ilmumisaeg: 01-Jan-2014, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470409807)
This book is devoted to the proof of a deep theorem in arithmetic geometry, the Fekete-Szego theorem with local rationality conditions. The prototype for the theorem is Raphael Robinsons theorem on totally real algebraic integers in an interval, wh...Loe edasi...
