Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non Archimedean analysis and Diophantine approximations. There are two "main theorems" and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman's conjecture and Griffiths-Lang's conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman's conjecture partially solved by Hu-Yang [71J; Griffiths-Lang's conjecture (open).

*"synopsis" may belong to another edition of this title.*

US$ 125.74

**Shipping:**
FREE

From United Kingdom to U.S.A.

Published by
Springer, Netherlands
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, Netherlands, 2010. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non- Archimedean analysis and Diophantine approximations. There are two main theorems and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman s conjecture and Griffiths-Lang s conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman s conjecture partially solved by Hu-Yang [71J; Griffiths-Lang s conjecture (open). Softcover reprint of hardcover 1st ed. 2000. Seller Inventory # AAV9789048155460

Published by
Springer, Netherlands
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, Netherlands, 2010. Paperback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non- Archimedean analysis and Diophantine approximations. There are two main theorems and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman s conjecture and Griffiths-Lang s conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman s conjecture partially solved by Hu-Yang [71J; Griffiths-Lang s conjecture (open). Softcover reprint of hardcover 1st ed. 2000. Seller Inventory # LIE9789048155460

Published by
Springer
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2010. Paperback. Condition: NEW. 9789048155460 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0386703

Published by
Springer, Netherlands
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, Netherlands, 2010. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non- Archimedean analysis and Diophantine approximations. There are two main theorems and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman s conjecture and Griffiths-Lang s conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman s conjecture partially solved by Hu-Yang [71J; Griffiths-Lang s conjecture (open). Softcover reprint of hardcover 1st ed. 2000. Seller Inventory # AAV9789048155460

Published by
Springer
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Quantity Available: > 20

Seller:

Rating

**Book Description **Springer, 2010. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9789048155460

Published by
Springer
(2009)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Softcover
Quantity Available: 15

Seller:

Rating

**Book Description **Springer, 2009. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9789048155460

Published by
Springer
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Quantity Available: > 20

Seller:

Rating

**Book Description **Springer, 2010. PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # LQ-9789048155460

Published by
Springer
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2010. Paperback. Condition: New. Softcover reprint of hardcover 1. Seller Inventory # DADAX9048155460

Published by
Springer
(2010)

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, 2010. Paperback. Condition: New. This item is printed on demand. Seller Inventory # INGM9789048155460

Published by
Springer

ISBN 10: 9048155460
ISBN 13: 9789048155460

New
Paperback
Quantity Available: > 20

Seller:

Rating

**Book Description **Springer. Paperback. Condition: New. 295 pages. Dimensions: 9.0in. x 6.0in. x 0.7in.Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non Archimedean analysis and Diophantine approximations. There are two main theorems and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C - M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffmans conjecture and Griffiths-Langs conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna98 for n k 1; H. Cartan 20 for n k 1; E. I. Nochka 99, 100, 101 for n k 1; Shiffmans conjecture partially solved by Hu-Yang 71J; Griffiths-Langs conjecture (open). This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9789048155460