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Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi, David Carchedi


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Автор: David Carchedi
Название:  Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi
ISBN: 9781470441449
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 1470441446
Обложка/Формат: Paperback
Страницы: 120
Вес: 0.19 кг.
Дата издания: 30.06.2020
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 254 x 178
Ключевые слова: Algebra,Algebraic geometry,Geometry,Topology
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Поставляется из: Англии
Описание: The author develops a universal framework to study smooth higher orbifolds on the one hand and higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other, and use this framework to obtain a completely categorical description of which stacks arise as the functor of points of such objects. He chooses to model higher orbifolds and Deligne-Mumford stacks as infinity-topoi equipped with a structure sheaf, thus naturally generalizing the work of Lurie, but his approach applies not only to different settings of algebraic geometry such as classical algebraic geometry, derived algebraic geometry, and the algebraic geometry of commutative ring spectra but also to differential topology, complex geometry, the theory of supermanifolds, derived manifolds etc., where it produces a theory of higher generalized orbifolds appropriate for these settings.This universal framework yields new insights into the general theory of Deligne-Mumford stacks and orbifolds, including a representability criterion which gives a categorical characterization of such generalized Deligne-Mumford stacks. This specializes to a new categorical description of classical Deligne-Mumford stacks, which extends to derived and spectral Deligne-Mumford stacks as well.
Дополнительное описание: Algebra|Algebraic geometry|Geometry|Topology



Geometric invariant theory

Автор: Mumford, David Fogarty, John Kirwan, Frances
Название: Geometric invariant theory
ISBN: 3642634001 ISBN-13(EAN): 9783642634000
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan.

Pattern theory

Автор: Mumford, David Desolneux, Agnes
Название: Pattern theory
ISBN: 1568815794 ISBN-13(EAN): 9781568815794
Издательство: Taylor&Francis
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Цена: 13779.00 р.
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Описание: Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis of new signals. This book treats the mathematical tools, the models themselves, and the computational algorithms for applying statistics to analyze six representative classes of signals of increasing complexity. The book covers patterns in text, sound, and images. Discussions of images include recognizing characters, textures, nature scenes, and human faces. The text includes online access to the materials (data, code, etc.) needed for the exercises.

Selected Papers II: On Algebraic Geometry, Including Correspondence with Grothendieck

Автор: Mumford David
Название: Selected Papers II: On Algebraic Geometry, Including Correspondence with Grothendieck
ISBN: 149399588X ISBN-13(EAN): 9781493995882
Издательство: Springer
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Цена: 11179.00 р.
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Описание: These articles span the years from 1961-1980 while David Mumford was an active researcher in the area of algebraic geometry. This volume includes many important papers previously omitted. Mumford`s correspondence with Grothendieck is also included.

Schottky Groups and Mumford Curves

Автор: L. Gerritzen; M. van der Put
Название: Schottky Groups and Mumford Curves
ISBN: 3540102299 ISBN-13(EAN): 9783540102298
Издательство: Springer
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Цена: 5583.00 р.
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The Moment-Weight Inequality and the Hilbert-Mumford Criterion: GIT from the Differential Geometric Viewpoint

Автор: Georgoulas Valentina, Robbin Joel W., Salamon Dietmar Arno
Название: The Moment-Weight Inequality and the Hilbert-Mumford Criterion: GIT from the Differential Geometric Viewpoint
ISBN: 3030892999 ISBN-13(EAN): 9783030892999
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry.

Selected Papers I: On the Classification of Varieties and Moduli Spaces

Автор: Mumford David
Название: Selected Papers I: On the Classification of Varieties and Moduli Spaces
ISBN: 1493995359 ISBN-13(EAN): 9781493995356
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.


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