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Cover: 9781316639566 | Period Mappings and Period Domains | James Carlson (u. a.) | Buch
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Period Mappings and Period Domains
Taschenbuch von James Carlson (u. a.)
Sprache: Englisch

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Beschreibung
An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
Über den Autor
James Carlson is Professor Emeritus at the University of Utah. From 2003 to 2012, he was president of the Clay Mathematics Institute, New Hampshire. Most of Carlson's research is in the area of Hodge theory.
Inhaltsverzeichnis
Part I. Basic Theory: 1. Introductory examples; 2. Cohomology of compact Kähler manifolds; 3. Holomorphic invariants and cohomology; 4. Cohomology of manifolds varying in a family; 5. Period maps looked at infinitesimally; Part II. Algebraic Methods: 6. Spectral sequences; 7. Koszul complexes and some applications; 8. Torelli theorems; 9. Normal functions and their applications; 10. Applications to algebraic cycles: Nori's theorem; Part III. Differential Geometric Aspects: 11. Further differential geometric tools; 12. Structure of period domains; 13. Curvature estimates and applications; 14. Harmonic maps and Hodge theory; Part IV. Additional Topics: 15. Hodge structures and algebraic groups; 16. Mumford-Tate domains; 17. Hodge loci and special subvarieties; Appendix A. Projective varieties and complex manifolds; Appendix B. Homology and cohomology; Appendix C. Vector bundles and Chern classes; Appendix D. Lie groups and algebraic groups; References; Index.
Details
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781316639566
ISBN-10: 1316639568
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Carlson, James
Müller-Stach, Stefan
Peters, Chris
Hersteller: Cambridge University Press
Maße: 229 x 152 x 34 mm
Von/Mit: James Carlson (u. a.)
Erscheinungsdatum: 24.08.2017
Gewicht: 0,927 kg
Artikel-ID: 108982622
Über den Autor
James Carlson is Professor Emeritus at the University of Utah. From 2003 to 2012, he was president of the Clay Mathematics Institute, New Hampshire. Most of Carlson's research is in the area of Hodge theory.
Inhaltsverzeichnis
Part I. Basic Theory: 1. Introductory examples; 2. Cohomology of compact Kähler manifolds; 3. Holomorphic invariants and cohomology; 4. Cohomology of manifolds varying in a family; 5. Period maps looked at infinitesimally; Part II. Algebraic Methods: 6. Spectral sequences; 7. Koszul complexes and some applications; 8. Torelli theorems; 9. Normal functions and their applications; 10. Applications to algebraic cycles: Nori's theorem; Part III. Differential Geometric Aspects: 11. Further differential geometric tools; 12. Structure of period domains; 13. Curvature estimates and applications; 14. Harmonic maps and Hodge theory; Part IV. Additional Topics: 15. Hodge structures and algebraic groups; 16. Mumford-Tate domains; 17. Hodge loci and special subvarieties; Appendix A. Projective varieties and complex manifolds; Appendix B. Homology and cohomology; Appendix C. Vector bundles and Chern classes; Appendix D. Lie groups and algebraic groups; References; Index.
Details
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781316639566
ISBN-10: 1316639568
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Carlson, James
Müller-Stach, Stefan
Peters, Chris
Hersteller: Cambridge University Press
Maße: 229 x 152 x 34 mm
Von/Mit: James Carlson (u. a.)
Erscheinungsdatum: 24.08.2017
Gewicht: 0,927 kg
Artikel-ID: 108982622
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