Nevanlinna Theory And Its Relation To Diophantine Approximation
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A01=Min Ru
Abelian Variety
Algebraic Hyperbolicity
Algebraic Variety
Author_Min Ru
Brody Hyperbolicity
Category=PBKD
Complex Hyperbolicity
Diophantine Approximation
Elliptic Curves
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Green-Griffiths' Conjecture
Griffiths' Conjecture
Holomorphic Curves
Jet Differential
Kobayashi Hyperbolicity
Lang's Conjecture
Meromorphic Functions
Mordell's Conjecture
Mordell-weil Theorem
Moving Target
Nevanlinna Theory
Rational Points
Riemann-roch Theorem
Roth's Theorem
Schmidt's Subspace Theorem
Second Main Theorem
Siegel's Theorem
Vojta's Conjecture
Product details
- ISBN 9789811233500
- Publication Date: 08 Apr 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.
