Higher-Dimensional Algebraic Geometry

Higher-Dimensional Algebraic Geometry by Olivier Debarre Download PDF EPUB FB2

The book provides a good introduction to higher-dimensional algebraic geometry for graduate students and other interested mathematicians." (Gabor Megyesi, Bulletin of the London Mathematical Society, Is ) "The book studies the classification theory of algebraic varieties.

Cited by: Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introduction to the subject.

The book provides a good introduction to higher-dimensional algebraic geometry for graduate students and other interested mathematicians." (Gabor Megyesi, Bulletin of the London Mathematical Society, Is ) "The book studies the classification theory of algebraic varieties.

Brand: Springer-Verlag New York. Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing Higher-Dimensional Algebraic Geometry book of knowledge has accumulated over the past twenty years.

The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various. Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years.

The author¿s goal is to provide an easily accessible introduction to the subject. The book covers preparatory and standard definitions and results, moves on to.

Higher-Dimensional Algebraic Geometry by Olivier Debarre,available at Book Depository with free delivery worldwide/5(2). Higher-dimensional algebraic geometry | Debarre O.

| download | B–OK. Download books for free. Higher-Dimensional Algebraic Geometry book books. Geometry of Higher Dimensional Algebraic Varieties Oberwolfach Seminars. AU $ Arithmetic of Higher-Dimensional Algebraic Varieties.

This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to.

Books in algebraic geometry. We should limit to books which we can really recommend, either by their special content, approach or pedagogical value. Historically fine but outdated books are in a separate historical section below.

Herbert Clemens, János Kollár, Shigefumi Mori, Higher-dimensional complex geometry, Astérisque ( INTRODUCTORY ON HIGHER-DIMENSIONAL VARIETIES: Debarre - "Higher Dimensional Algebraic Geometry".

The main alternative to this title is the new book by Hacon/Kovács' "Classifiaction of Higher-dimensional Algebraic Varieties" which includes recent results on the classification problem and is intended as a graduate topics course. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research.

It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic : Birkhauser. This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub­ ject in the last 20 years.

Shigefumi Mori – Classification of higher-dimensional varieties [MR ] Miles Reid – Tendencious survey of $3$-folds [MR ] Miles Reid – Young person’s guide to canonical singularities [MR ] Affine algebraic geometry. One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties.

This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond.

‎This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, it contains a complete proof of the theorems on the existence of flips, on.

It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry.

The book provides a good introduction to higher-dimensional algebraic geometry for graduate students and other interested mathematicians." (Gabor Megyesi, Bulletin of the London Mathematical Society, Is ) "The book studies the classification theory of algebraic varieties. Price: $ therefore sheds light on some aspects of higher dimensional algebraic geometry.

Secondly, moduli spaces are varieties naturally attached to any surface. The understanding of their properties gives answers to problems concerning the geometry of the surface, e.g.

Chow group, linear systems, etc. Prom the beginnings of algebraic geometry it has been understood that birationally equivalent varieties have many properties in common. Thus it is natural to attempt to find in each birational equivalence class a variety which is simplest in some sense, and then study these varieties in detail.

Tommaso de Fernex, Karl Schwede, and I organized the Summer school and conference Higher dimensional algebraic geometry, held at the University of Utah, July4. Tommaso de Fernex, Brendan Hassett, Martin Olsson, Mihnea Popa, Richard Thomas, and I organized a successor to Seattle (and Santa CruzBowdoinArcata I think Algebraic Geometry is too broad a subject to choose only one book.

But my personal choices for the BEST BOOKS are. UNDERGRADUATE: Beltrametti et al. "Lectures on Curves, Surfaces and Projective Varieties" which starts from the very beginning with a classical geometric style.

Very complete (proves Riemann-Roch for curves in an easy language) and concrete in classic constructions needed. Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties.

This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years.

The author's goal is to provide an easily accessible introduction to the subject. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

Complex Functions-Gareth A. Jones An. author Debarre, Olivier title Higher-dimensional algebraic geometry year publisher Springer-Verlag series Universitext. Tomorrow's answer's today. Find correct step-by-step solutions for ALL your homework for FREE. Higher Dimensional Algebraic Geometry, Holomorphic Dynamics and Their Interactions >>> From an algebro-geometric point of view, one likes to classify compact varieties according to their isomorphism classes or birational classes.

The former classes are more rigid and the latter ones are more flexible in the following sense. Higher Dimensional Categories an illustrated guide book. This work gives an explanatory introduction to various definitions of higher dimensional category.

The emphasis is on ideas rather than formalities; the aim is to shed light on the formalities by emphasising the intuitions that lead there. An introductory, concise book of pages on Higher Dimensional Algebra (HDA) and some elements of Homology Theory and early Algebraic Geometry (AG).

Also contains some of the necessary background in Abstract Algebra, Topology, Algebraic Topology and Category Theory.

Table of Contents/Articles: Algebra and Topology 1 Abstract algebra 1. "Proceedings of the conference 'Higher-Dimensional Algebraic Geometry in Honour of Professor Yujiro Kawamata's sixtieth birthday' held at Graduate School of Mathematical Sciences, the University of Tokyo during January"--Preface.

Bibliographic references. The general development of the theory of rings and fields in the first two decades of the 20th century prepared the ground for a systematic development of higher-dimensional algebraic geometry over arbitrary fields.

In his series of articles (–), B.L. van der Waerden based abstract algebraic geometry on the theory of polynomial ideals. In he published the book The geometry of determinantal loci through the Cambridge University Press. Nearly pages long, the book combines methods of synthetic geometry and algebraic geometry to study higher-dimensional generalizations of quartic surfaces and cubic surfaces.Here are some textbooks in algebraic geometry.

([Sha13])Shafarevich’s book is a little more old school than the others in this list, but is valuable in the examples it gives. ([Har77])Hartshorne’s book has long been the \gold-standard" for algebraic geometry textbook.

I learned the subject from this book rst.Higher-dimensional algebraic geometry. [Olivier Debarre] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create The book starts with preparatory and standard definitions and results.