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Quasi-projective Moduli for Polarized Manifolds, Eckart Viehweg


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Автор: Eckart Viehweg
Название:  Quasi-projective Moduli for Polarized Manifolds
ISBN: 9783642797477
Издательство: Springer
Классификация: ISBN-10: 3642797474
Обложка/Формат: Paperback
Страницы: 320
Вес: 0.47 кг.
Дата издания: 27.12.2011
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Язык: English
Размер: 234 x 156 x 18
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The concept of moduli goes back to B. Riemann, who shows in 68] that the isomorphism class of a Riemann surface of genus 9 2 depends on 3g - 3 parameters, which he proposes to name moduli. A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see 59]), as well as solutions in some cases. It is the aim of this monograph to present methods which allow over a field of characteristic zero to construct certain moduli schemes together with an ample sheaf. Our main source of inspiration is D. Mumfords Geometric In- variant Theory. We will recall the necessary tools from his book 59] and prove the Hilbert-Mumford Criterion and some modified version for the stability of points under group actions. As in 78], a careful study of positivity proper- ties of direct image sheaves allows to use this criterion to construct moduli as quasi-projective schemes for canonically polarized manifolds and for polarized manifolds with a semi-ample canonical sheaf.


The Adult Attachment Projective Picture System: Attachment Theory and Assessment in Adults

Автор: George Carol, West Malcolm L.
Название: The Adult Attachment Projective Picture System: Attachment Theory and Assessment in Adults
ISBN: 1462504256 ISBN-13(EAN): 9781462504251
Издательство: Taylor&Francis
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Цена: 7348.00 р.
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Описание: This book presents cutting-edge research on adult attachment together with a complete overview of the Adult Attachment Projective Picture System (AAP), the authors' validated developmental assessment. In addition to identifying attachment classification groups, the AAP yields important information about dimensions--including defensive processes--not evaluated by other available measures. Detailed case illustrations show what the AAP looks like ""in action"" and what it reveals about individuals' early experiences, sense of self, and capacity to engage in close, protective relationships. The AAP can be used in clinical or research settings; the concluding chapter discusses promising applications to studying the neurobiology of attachment.

Projective Techniques in Personality Assessment

Автор: Albert ?. R?b??
Название: Projective Techniques in Personality Assessment
ISBN: 3662387026 ISBN-13(EAN): 9783662387023
Издательство: Springer
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Цена: 12157.00 р.
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CR Submanifolds of Complex Projective Space

Автор: Mirjana Djoric; Masafumi Okumura
Название: CR Submanifolds of Complex Projective Space
ISBN: 1461424771 ISBN-13(EAN): 9781461424772
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This text begins with an introduction to complex differential geometry and the properties of complex manifolds. It then describes the properties of hypersurfaces of various complex spaces and CR manifolds, emphasizing CR submanifolds of maximal CR dimension.

Modern Projective Geometry

Автор: Claude-Alain Faure; Alfred Fr?licher
Название: Modern Projective Geometry
ISBN: 0792365259 ISBN-13(EAN): 9780792365259
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Develops projective geometries and provides a systematic treatment of morphisms. This work introduces a fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. It is of interest to mathematicians and researchers whose work involves projective geometries.

Projective Modules and Complete Intersections

Автор: Satya Mandal
Название: Projective Modules and Complete Intersections
ISBN: 3540635645 ISBN-13(EAN): 9783540635642
Издательство: Springer
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Цена: 4884.00 р.
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Описание: An examination of projective modules and complete intersections, this work looks at: patching modules; extended modules; modules over commutative rings; complete intersections; and the techniques of Lindel.

De Sitter Projective Relativity

Автор: Ignazio Licata; Leonardo Chiatti; Elmo Benedetto
Название: De Sitter Projective Relativity
ISBN: 3319522701 ISBN-13(EAN): 9783319522708
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book presents the Projective approach to de Sitter Relativity. In this volume a systematic presentation is given of the De Sitter Projective relativity, with the recent developments in projective general relativity and quantum cosmology.

Projective Geometry and Formal Geometry

Автор: Lucian Badescu
Название: Projective Geometry and Formal Geometry
ISBN: 3034896263 ISBN-13(EAN): 9783034896269
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry.

Nonabelien Jacobian of Projective Surfaces

Автор: Reider Igor
Название: Nonabelien Jacobian of Projective Surfaces
ISBN: 3642356613 ISBN-13(EAN): 9783642356612
Издательство: Springer
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Цена: 6288.00 р.
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Описание: The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces.

The Real Projective Plane

Автор: G. Beck; H.S.M. Coxeter
Название: The Real Projective Plane
ISBN: 0387978895 ISBN-13(EAN): 9780387978895
Издательство: Springer
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Цена: 9357.00 р.
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Описание: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (3.34). This makes the logi- cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop- erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non- Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.

Serre`s Problem on Projective Modules

Автор: T.Y. Lam
Название: Serre`s Problem on Projective Modules
ISBN: 3642062350 ISBN-13(EAN): 9783642062353
Издательство: Springer
Цена: 11878.00 р.
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Описание: "Serre's Conjecture," for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k x, . . ., x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme de?ned by k x, . . ., x] is the algebro-geometric analogue of 1 n the af?ne n-space over k. In topology, the n-space is contractible, so there are only trivial bundles over it. Would the analogue of the latter also hold for the n-space in algebraic geometry? Since algebraic vector bundles over Speck x, . . ., x] corre- 1 n spond to ?nitely generated projective modules over k x, . . ., x], the question was 1 n tantamount to whether such projective modules were free, for any base ?eld k. ItwasquiteclearthatSerreintendedhisstatementasanopenproblemintheshe- theoretic framework of algebraic geometry, which was just beginning to emerge in the mid-1950s. Nowhere in his published writings had Serre speculated, one way or another, upon the possible outcome of his problem. However, almost from the start, a surmised positive answer to Serre's problem became known to the world as "Serre's Conjecture." Somewhat later, interest in this "Conjecture" was further heightened by the advent of two new (and closely related) subjects in mathematics: homological algebra, and algebraic K-theory.

Valuations of Skew Fields and Projective Hjelmslev Spaces

Автор: Karl Mathiak
Название: Valuations of Skew Fields and Projective Hjelmslev Spaces
ISBN: 354016099X ISBN-13(EAN): 9783540160991
Издательство: Springer
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