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  3. Kompleks analyse, komplekse variabler

Intersection Homology & Perverse Sheaves

- with Applications to Singularities
Af: Laurentiu G. Maxim Engelsk Hardback

Intersection Homology & Perverse Sheaves

- with Applications to Singularities
Af: Laurentiu G. Maxim Engelsk Hardback
Tjek vores konkurrenters priser

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature.

Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications.

Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.


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Tjek vores konkurrenters priser

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature.

Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications.

Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 270
ISBN-13: 9783030276430
Indbinding: Hardback
Udgave:
ISBN-10: 3030276430
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 10 dec 2019
Længde: 23mm
Bredde: 153mm
Højde: 240mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 10 dec 2019
Forfatter(e): Laurentiu G. Maxim
Forfatter(e) Laurentiu G. Maxim

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9783030276430

Sprog Engelsk

Indbinding Hardback

Sider 270

Udgave

Længde 23mm

Bredde 153mm

Højde 240mm

Udg. Dato 10 dec 2019

Oplagsdato 10 dec 2019

Forlag Springer Nature Switzerland AG

Kategori sammenhænge