Geometry Over Nonclosed Fields

Geometry Over Nonclosed Fields
Author :
Publisher : Springer
Total Pages : 267
Release :
ISBN-10 : 9783319497631
ISBN-13 : 3319497634
Rating : 4/5 (634 Downloads)

Book Synopsis Geometry Over Nonclosed Fields by : Fedor Bogomolov

Download or read book Geometry Over Nonclosed Fields written by Fedor Bogomolov and published by Springer. This book was released on 2017-02-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail.


Geometry Over Nonclosed Fields Related Books

Geometry Over Nonclosed Fields
Language: en
Pages: 267
Authors: Fedor Bogomolov
Categories: Mathematics
Type: BOOK - Published: 2017-02-09 - Publisher: Springer

GET EBOOK

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of
Rationality of Varieties
Language: en
Pages: 433
Authors: Gavril Farkas
Categories: Mathematics
Type: BOOK - Published: 2021-10-19 - Publisher: Springer Nature

GET EBOOK

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality
Birational Geometry, Rational Curves, and Arithmetic
Language: en
Pages: 324
Authors: Fedor Bogomolov
Categories: Mathematics
Type: BOOK - Published: 2013-05-17 - Publisher: Springer Science & Business Media

GET EBOOK

​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.
The Geometry of Schemes
Language: en
Pages: 265
Authors: David Eisenbud
Categories: Mathematics
Type: BOOK - Published: 2006-04-06 - Publisher: Springer Science & Business Media

GET EBOOK

Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathemati
An Introduction to Algebraic Geometry and Algebraic Groups
Language: en
Pages: 321
Authors: Meinolf Geck
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Oxford University Press

GET EBOOK

An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maxima