Monomialization Of Morphisms From 3 Folds To Surfaces
DOWNLOAD
Download Monomialization Of Morphisms From 3 Folds To Surfaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Monomialization Of Morphisms From 3 Folds To Surfaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Monomialization Of Morphisms From 3 Folds To Surfaces
DOWNLOAD
Author : Steven D. Cutkosky
language : en
Publisher: Springer
Release Date : 2004-10-13
Monomialization Of Morphisms From 3 Folds To Surfaces written by Steven D. Cutkosky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-13 with Mathematics categories.
A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S. The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.
Toroidalization Of Dominant Morphisms Of 3 Folds
DOWNLOAD
Author : Steven Dale Cutkosky
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Toroidalization Of Dominant Morphisms Of 3 Folds written by Steven Dale Cutkosky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book contains a proof that a dominant morphism from a 3-fold $X$ to a variety $Y$ can be made toroidal by blowing up in the target and domain. We give applications to factorization of birational morphisms of 3-folds.
Valuation Theory And Its Applications
DOWNLOAD
Author : Franz-Viktor Kuhlmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2002-01-01
Valuation Theory And Its Applications written by Franz-Viktor Kuhlmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.
Commutative Algebra Singularities And Computer Algebra
DOWNLOAD
Author : Jürgen Herzog
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Commutative Algebra Singularities And Computer Algebra written by Jürgen Herzog and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002
Resolution Of Curve And Surface Singularities In Characteristic Zero
DOWNLOAD
Author : K. Kiyek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-11
Resolution Of Curve And Surface Singularities In Characteristic Zero written by K. Kiyek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-11 with Mathematics categories.
The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
Resolution Of Singularities
DOWNLOAD
Author : Steven Dale Cutkosky
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Resolution Of Singularities written by Steven Dale Cutkosky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.
Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference
DOWNLOAD
Author : Jean-paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007-02-08
Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference written by Jean-paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-08 with Mathematics categories.
The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Singularity Theory
DOWNLOAD
Author : Denis Cheniot
language : en
Publisher: World Scientific
Release Date : 2007
Singularity Theory written by Denis Cheniot and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory. The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Recent Progress In Arithmetic And Algebraic Geometry
DOWNLOAD
Author : Yasuyuki Kachi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Recent Progress In Arithmetic And Algebraic Geometry written by Yasuyuki Kachi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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.
Local Dynamics Of Non Invertible Maps Near Normal Surface Singularities
DOWNLOAD
Author : William Gignac
language : en
Publisher: American Mathematical Society
Release Date : 2021-11-16
Local Dynamics Of Non Invertible Maps Near Normal Surface Singularities written by William Gignac and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Mathematics categories.
View the abstract.