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This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano fourfolds,...
Editeur :
Birkhäuser
Parution :
2021-10-19
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This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in...
Editeur :
Springer
Parution :
2021-10-09
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What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric...
Editeur :
Springer
Parution :
2021-09-04
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This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last forty years, the author aims for accessibility by balancing...
Editeur :
Birkhäuser
Parution :
2021-07-12
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This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex...
Editeur :
Springer
Parution :
2021-07-05
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The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.The papers, written by leading researchers working on various topics of...
Editeur :
Birkhäuser
Parution :
2021-05-27
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This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature...
Editeur :
Springer
Parution :
2021-05-22
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This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from...
Editeur :
Birkhäuser
Parution :
2021-05-17
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This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and...
Editeur :
Springer
Parution :
2021-05-06
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The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved...
Editeur :
Springer
Parution :
2021-03-25
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This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the...
Editeur :
Springer
Parution :
2021-03-24
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The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose...
Editeur :
Springer
Parution :
2021-01-21
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This book reports on an original approach to problems of loci. It shows how the theory of mechanisms can be used to address the locus problem. It describes the study of different loci, with an emphasis on those of triangle and quadrilateral, but not limited to them....
Editeur :
Springer
Parution :
2020-12-01
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Kann man 23 Punkte und 23 Geraden in der Ebene so anordnen, dass durch jeden Punkt genau vier Geraden verlaufen und gleichzeitig auf jeder Geraden genau vier Punkte liegen?Kann man einen Messestand als Möbiusband mit gleichgroßen Dreiecken bauen? Wie schafft man den...
Editeur :
Springer Spektrum
Parution :
2020-11-05
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This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields,...
Editeur :
Springer
Parution :
2020-11-05
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This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering...
Editeur :
Springer
Parution :
2020-10-24
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This book focuses on a selection of special topics, with emphasis on past and present research of the authors on “canonical” Riemannian metrics on smooth manifolds.On the backdrop of the fundamental contributions given by many experts in the field, the volume offers a...
Editeur :
Birkhäuser
Parution :
2020-10-23
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How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet?
David Acheson takes the reader on a highly illustrated tour through the history of geometry,...
Editeur :
OUP Oxford
Parution :
2020-10-22
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The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics.The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s...
Editeur :
Springer
Parution :
2020-10-16
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This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and...
Editeur :
Springer
Parution :
2020-09-26
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