Author : Rajendra V. Gurjar
Publisher : Walter de Gruyter GmbH & Co KG
Page : 360 pages
File Size : 13,64 MB
Release : 2021-07-05
Category : Mathematics
ISBN : 3110577569
Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.
Author : Rajendra V. Gurjar
Publisher : Walter de Gruyter GmbH & Co KG
Page : 275 pages
File Size : 10,1 MB
Release : 2021-07-05
Category : Mathematics
ISBN : 3110577429
Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.
Author : Shigeru Kuroda
Publisher : Springer Nature
Page : 317 pages
File Size : 28,83 MB
Release : 2020-03-27
Category : Mathematics
ISBN : 3030421368
This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Author : S.P. Novikov
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 17,30 MB
Release : 2001-06-20
Category : Mathematics
ISBN : 9783540626350
From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992
Author : Gabriel Oyibo
Publisher : Nova Publishers
Page : 178 pages
File Size : 12,15 MB
Release : 2003-09-10
Category : Mathematics
ISBN : 9781590334522
Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help to shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics.
Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 21,72 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662067919
From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992
Author : S. G. Dani
Publisher : Springer Nature
Page : 759 pages
File Size : 46,23 MB
Release : 2019-10-18
Category : Mathematics
ISBN : 3030136094
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
Author : Ron Donagi
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 30,21 MB
Release : 2015-09-30
Category : Mathematics
ISBN : 0821894951
This volume contains the proceedings of the conference String-Math 2012, which was held July 16-21, 2012, at the Hausdorff Center for Mathematics, Universität Bonn. This was the second in a series of annual large meetings devoted to the interface of mathematics and string theory. These meetings have rapidly become the flagship conferences in the field. Topics include super Riemann surfaces and their super moduli, generalized moonshine and K3 surfaces, the latest developments in supersymmetric and topological field theory, localization techniques, applications to knot theory, and many more. The contributors include many leaders in the field, such as Sergio Cecotti, Matthias Gaberdiel, Rahul Pandharipande, Albert Schwarz, Anne Taormina, Johannes Walcher, Katrin Wendland, and Edward Witten. This book will be essential reading for researchers and students in this area and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface.
Author : Anthony Ayers Iarrobino
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 41,1 MB
Release : 1994
Category : Mathematics
ISBN : 0821825763
In 1904, Macaulay described the Hilbert function of the intersection of two plane curve branches: It is the sum of a sequence of functions of simple form. This monograph describes the structure of the tangent cone of the intersection underlying this symmetry. Iarrobino generalizes Macaulay's result beyond complete intersections in two variables to Gorenstein Artin algebras in an arbitrary number of variables. He shows that the tangent cone of a Gorenstein singularity contains a sequence of ideals whose successive quotients are reflexive modules. Applications are given to determining the multiplicity and orders of generators of Gorenstein ideals and to problems of deforming singular mapping germs. Also included are a survey of results concerning the Hilbert function of Gorenstein Artin algebras and an extensive bibliography.
Author : Wolfram Decker
Publisher : Springer
Page : 396 pages
File Size : 32,72 MB
Release : 2017-03-29
Category : Mathematics
ISBN : 3319288296
This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.
