Families Of Varieties Of General Type PDF Download
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| Author | : János Kollár |
| Publisher | : Cambridge University Press |
| Total Pages | : 492 |
| Release | : 2023-04-20 |
| Genre | : Mathematics |
| ISBN | : 1009346148 |
Download Families of Varieties of General Type Book in PDF, ePub and Kindle
This book establishes the moduli theory of stable varieties, giving the optimal approach to understanding families of varieties of general type. Starting from the Deligne–Mumford theory of the moduli of curves and using Mori's program as a main tool, the book develops the techniques necessary for a theory in all dimensions. The main results give all the expected general properties, including a projective coarse moduli space. A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.
| Author | : János Kollár |
| Publisher | : Cambridge University Press |
| Total Pages | : 491 |
| Release | : 2023-04-30 |
| Genre | : Mathematics |
| ISBN | : 1009346105 |
Download Families of Varieties of General Type Book in PDF, ePub and Kindle
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.
| Author | : Kunihiko Kodaira |
| Publisher | : Springer Nature |
| Total Pages | : 86 |
| Release | : 2020-09-17 |
| Genre | : Mathematics |
| ISBN | : 9811573808 |
Download Theory of Algebraic Surfaces Book in PDF, ePub and Kindle
This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967. It serves as an almost self-contained introduction to the theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the arithmetic genus. It also discusses the behavior of the pluri-canonical maps of surfaces of general type as a practical application of the general theory. The book is aimed at graduate students and also at anyone interested in algebraic surfaces, and readers are expected to have only a basic knowledge of complex manifolds as a prerequisite.
| Author | : Christopher D. Hacon |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 206 |
| Release | : 2011-02-02 |
| Genre | : Mathematics |
| ISBN | : 3034602901 |
Download Classification of Higher Dimensional Algebraic Varieties Book in PDF, ePub and Kindle
Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.
| Author | : Canadian Number Theory Association. Conference |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 426 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821809644 |
Download Number Theory Book in PDF, ePub and Kindle
This book contains papers presented at the Fifth Canadian Number Theory Association (CNTA) conference held at Carleton University Ottawa, Ontario. The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hour-long talk on Mahler's Measure and Elliptic Curves. This lecture was open to the public and attracted a large audience from outside the conference.
| Author | : Adam Sheffer |
| Publisher | : Cambridge University Press |
| Total Pages | : 263 |
| Release | : 2022-03-24 |
| Genre | : Mathematics |
| ISBN | : 1108832490 |
Download Polynomial Methods and Incidence Theory Book in PDF, ePub and Kindle
A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.
| Author | : Károly Jr. Böröczky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 307 |
| Release | : 2013-12-11 |
| Genre | : Mathematics |
| ISBN | : 3662051230 |
Download Higher Dimensional Varieties and Rational Points Book in PDF, ePub and Kindle
Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.
| Author | : Yasuyuki Kachi |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 186 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821834010 |
Download Recent Progress in Arithmetic and Algebraic Geometry Book in PDF, ePub and Kindle
This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.
| Author | : Dan Abramovich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 539 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821847031 |
Download Algebraic Geometry Book in PDF, ePub and Kindle
Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.
| Author | : Daniel Huybrechts |
| Publisher | : Cambridge University Press |
| Total Pages | : 345 |
| Release | : 2010-05-27 |
| Genre | : Mathematics |
| ISBN | : 1139485822 |
Download The Geometry of Moduli Spaces of Sheaves Book in PDF, ePub and Kindle
This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
