sheaves manifolds 2024

Sheaves on Manifolds With a

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Sheaf Theory is modern active field of mathematics at the intersection of algebraic topology algebraic geometry and partial differential equations This volume offers a comprehensive and selfcontained treatment of Sheaf Theory from the basis up with emphasis on the microlocal point of view From the reviews Clearly and precisely written and contains many interesting ideas it describes a whole largely new branch of mathematics Bulletin of the LMS

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Sheaves on Manifolds With a

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Sheaf Theory is modern active field of mathematics at the intersection of algebraic topology algebraic geometry and partial differential equations This volume offers a comprehensive and selfcontained treatment of Sheaf Theory from the basis up with emphasis on the microlocal point of view From the reviews Clearly and precisely written and contains many interesting ideas it describes a whole largely new branch of mathematics Bulletin of the LMS

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Vitalsource Technologies Inc Manifolds

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A digital copy of Manifolds Sheaves and Cohomology by Torsten Wedhorn Download is immediately available upon purchase

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Sheaves in Geometry and Logic

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Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds Sheaves also appear in logic as carriers for models of set theory This text presents topos theory as it has developed from the study of sheaves Beginning with several examples it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic

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Sheaves in Geometry and Logic

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Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds Sheaves also appear in logic as carriers for models of set theory This text presents topos theory as it has developed from the study of sheaves Beginning with several examples it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic

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Hodge Theory and Complex Algebraic

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This is a modern introduction to Kaehlerian geometry and Hodge structure Coverage begins with variables complex manifolds holomorphic vector bundles sheaves and cohomology theory with the latter being treated in a more theoretical way than is usual in geometry The book culminates with the Hodge decomposition theorem In between the author proves the Kaehler identities which leads to the hard Lefschetz theorem and the Hodge index theorem The second part of the book investigates the meaning of these results in several directions

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Topological Methods in Algebraic Geometry

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In recent years new topological methods especially the theory of sheaves founded by J LERAY have been applied successfully to algebraic geometry and to the theory of functions of several complex variables H CARTAN and J P SERRE have shown how fundamental theorems on holomorphically complete manifolds STEIN manifolds can be for mulated in terms of sheaf theory These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete J P SERRE has obtained important results on algebraic manifolds by these and other methods Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic K KODAIRA and D C SPENCER have also applied sheaf theory to algebraic geometry with great success Their methods differ from those of SERRE in that they use techniques from differential geometry harmonic integrals etc but do not make any use of the theory of STEIN manifolds M F ATIYAH and W V D HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory I was able to work together with K KODAIRA and D C SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954

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Complex Differential Geometry AMS IP

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Discusses the differential geometric aspects of complex manifolds This work contains standard materials from general topology differentiable manifolds and basic Riemannian geometry It discusses complex manifolds and analytic varieties sheaves and holomorphic vector bundles It also gives a brief account of the surface classification theory

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Cohomology and Differential Forms Dover

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This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry Based on lectures given by author Izu Vaisman at Romanias University of Iasi the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry global analysis and topologyA selfcontained development of cohomological theory constitutes the central part of the book Topics include categories and functors the Čech cohomology with coefficients in sheaves the theory of fiber bundles and differentiable foliated and complex analytic manifolds The final chapter covers the theorems of de Rham and DolbeaultSerre and examines the theorem of Allendoerfer and Eells with applications of these theorems to characteristic classes and the general theory of harmonic forms

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Topological Methods in Algebraic Geometry

Explore tips, opinions, and features on Topological Methods in Algebraic Geometry sold at 37.93 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

In recent years new topological methods especially the theory of sheaves founded by J LERAY have been applied successfully to algebraic geometry and to the theory of functions of several complex variables H CARTAN and J P SERRE have shown how fundamental theorems on holomorphically complete manifolds STEIN manifolds can be for mulated in terms of sheaf theory These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete J P SERRE has obtained important results on algebraic manifolds by these and other methods Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic K KODAIRA and D C SPENCER have also applied sheaf theory to algebraic geometry with great success Their methods differ from those of SERRE in that they use techniques from differential geometry harmonic integrals etc but do not make any use of the theory of STEIN manifolds M F ATIYAH and W V D HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory I was able to work together with K KODAIRA and D C SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954

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Hodge Theory and Complex Algebraic

Discover information, advice, and prices for Hodge Theory and Complex Algebraic sold for 70.85 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .

This is a modern introduction to Kaehlerian geometry and Hodge structure Coverage begins with variables complex manifolds holomorphic vector bundles sheaves and cohomology theory with the latter being treated in a more theoretical way than is usual in geometry The book culminates with the Hodge decomposition theorem In between the author proves the Kaehler identities which leads to the hard Lefschetz theorem and the Hodge index theorem The second part of the book investigates the meaning of these results in several directions

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Manifolds Sheaves and Cohomology

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EAN: 9783658106324

Sheaves on Manifolds With a

Explore tips, opinions, and features on Sheaves on Manifolds With a sold at 151,20  $ ; this product is listed in the Analyse mathématique category, produced by Springer, and sold by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.

Analyse mathématique Mathématiques Sciences Techniques et Médecine Livres Calcul différentiel Géometrie et Trigonométrie Topologie Personnages scientifiques Anglais Livres anglais et étrangers Featured Categories Regular Stores c5b72a0ff6de4186ad6fd51a16c58e4f1301 c5b72a0ff6de4186ad6fd51a16c58e4f0 Special Features Stores Self Service Arborist Merchandising Root

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EAN: 9783540518617

Sheaves on Manifolds Chinese Edition

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Livres

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EAN: 9787510070303

Mathematical Structures From Linear Algebra

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Perverse Sheaves and Applications to

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EAN: 9781470455972

Applications of Sheaves Proceedings the

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EAN: 9783540095644

Topological Invariants of Stratified Spaces

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EAN: 9783540385851

Categories and Sheaves Grundlehren der

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Cohomology and Differential Forms Dover

Find tips, reviews, and features on Cohomology and Differential Forms Dover sold for 10,61  $ , available in the Géometrie et Trigonométrie category; this product belongs to and is sold by Dover Publications.

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Geometry of Principal Sheaves Mathematics

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Algèbre Mathématiques Sciences Techniques et Médecine Livres Géometrie et Trigonométrie Personnages scientifiques Anglais Livres anglais et étrangers Featured Categories Regular Stores c5b72a0ff6de4186ad6fd51a16c58e4f1301 c5b72a0ff6de4186ad6fd51a16c58e4f0 Special Features Stores Self Service Arborist Merchandising Root Science et mathématiques en langues étrangères Ebooks en langues étrangères Ebooks Kindle Boutique Kindle Geometry Topology Mathematics Science Ebooks en anglais Ebooks par langue Algebra Mathématiques pures

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EAN: 9781280283888



sheaves manifolds


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