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• catalog contributor b12716974.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description "A3.2. The Use of the Second Main Theorem with Truncated Counting Functions -- A3.3. Borel's Lemma and its Applications -- A3.4. The Linearly Degenerated Case -- A3.5. Ahlfors' Approach -- B3.1. Schmidt's Subspace Theorem -- B3.2. The abc-Conjecture -- B3.3. The S-Unit Lemma -- B3.4. The Degenerated Schmidt's Subspace Theorem -- Ch. 4. The Moving Target Problems -- A4.1. The Moving Target Problem for Meromorphic Functions -- A4.2. The Moving Target Problem for Holomorphic Curves in Projective Spaces -- A4.3. Cartan's Conjecture with Moving Targets -- A4.4. Applications -- B4.1. Schmidt's Subspace Theorem with Moving Targets -- B4.2. The Degenerate Case -- B4.3. Applications of Schmidt's Subspace Theorem with Moving Targets -- Ch. 5. Equi-dimensional Nevanlinna Theory and Vojta's Conjecture -- A5.1. Logarithmic Derivative Lemma for Meromorphic Functions on C[superscript n] -- A5.2. Equi-dimensional Nevanlinna Theory -- A5.3. Griffiths' Conjecture -- ".
• catalog description "B5.1. Vojta's Conjecture in Diophantine Approximation -- Ch. 6. Holomorphic Curves in Abelian Varieties and the Theorem of Faltings -- A6.1. Bloch's Theorem for Holomorphic Curves in Abelian Varieties -- A6.2. The Proof of Lang's Conjecture -- A6.3. McQuillan's Proof -- B6.1. Faltings' Theorem on Rational Points in Abelian Varieties -- Ch. 7. Complex Hyperbolic Manifolds and Lang's Conjecture -- A7.1. Schwarz Lemma -- A7.2. Kobayashi Hyperbolicity -- A7.3. Brody's Hyperbolicity -- A7.4. Differential Geometric Criteria for Hyperbolicity -- A7.5. Metrics on Jet Bundles -- B7.1. Lang's Conjecture.".
• catalog description "Ch. 1. Nevanlinna Theory for Meromorphic Functions and Roth's Theorem -- A1.1. The First Main Theorem -- A1.2. The Logarithmic Derivative Lemma -- A1.3. The Second Main Theorem for Meromorphic Functions -- B1.1. Introduction to Diophantine Approximation -- B1.2. Roth's Theorem and Vojta's Dictionary -- B1.3. Proof of Roth's Theorem -- Ch. 2. Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth and Faltings -- A2.1. Some Lemmas -- A2.2. Divisors, Line Bundles, and the First Main Theorem -- A2.3. Holomorphic Curves in Compact Riemann Surfaces -- B2.1. Integral Points on Algebraic Curves -- B2.2. Curves of Genus 0 -- B2.3. Rational Points on Curves of Genus 1, Mordell-Weil Theorem -- B2.4. Integral Points on Curves of Genus 1, Siegel's Theorem -- B2.5. Curves of Genus Greater Than or Equal to Two, Theorem of Faltings -- Ch. 3. Holomorphic Curves in P[superscript n] (C) and Schmidt's Subspace Theorem -- A3.1. Cartan's Second Main Theorem -- ".
• catalog description "Includes bibliographical references (p. 305-314) and index.".
• catalog extent "xiii, 323 p. :".
• catalog identifier "9810244029 (alk. paper)".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Singapore ; River Edge, N.J. : World Scientific,".
• catalog subject "515 21".
• catalog subject "Diophantine approximation.".
• catalog subject "Nevanlinna theory.".
• catalog subject "QA331 .R82 2001".
• catalog tableOfContents "A3.2. The Use of the Second Main Theorem with Truncated Counting Functions -- A3.3. Borel's Lemma and its Applications -- A3.4. The Linearly Degenerated Case -- A3.5. Ahlfors' Approach -- B3.1. Schmidt's Subspace Theorem -- B3.2. The abc-Conjecture -- B3.3. The S-Unit Lemma -- B3.4. The Degenerated Schmidt's Subspace Theorem -- Ch. 4. The Moving Target Problems -- A4.1. The Moving Target Problem for Meromorphic Functions -- A4.2. The Moving Target Problem for Holomorphic Curves in Projective Spaces -- A4.3. Cartan's Conjecture with Moving Targets -- A4.4. Applications -- B4.1. Schmidt's Subspace Theorem with Moving Targets -- B4.2. The Degenerate Case -- B4.3. Applications of Schmidt's Subspace Theorem with Moving Targets -- Ch. 5. Equi-dimensional Nevanlinna Theory and Vojta's Conjecture -- A5.1. Logarithmic Derivative Lemma for Meromorphic Functions on C[superscript n] -- A5.2. Equi-dimensional Nevanlinna Theory -- A5.3. Griffiths' Conjecture -- ".
• catalog tableOfContents "B5.1. Vojta's Conjecture in Diophantine Approximation -- Ch. 6. Holomorphic Curves in Abelian Varieties and the Theorem of Faltings -- A6.1. Bloch's Theorem for Holomorphic Curves in Abelian Varieties -- A6.2. The Proof of Lang's Conjecture -- A6.3. McQuillan's Proof -- B6.1. Faltings' Theorem on Rational Points in Abelian Varieties -- Ch. 7. Complex Hyperbolic Manifolds and Lang's Conjecture -- A7.1. Schwarz Lemma -- A7.2. Kobayashi Hyperbolicity -- A7.3. Brody's Hyperbolicity -- A7.4. Differential Geometric Criteria for Hyperbolicity -- A7.5. Metrics on Jet Bundles -- B7.1. Lang's Conjecture.".
• catalog tableOfContents "Ch. 1. Nevanlinna Theory for Meromorphic Functions and Roth's Theorem -- A1.1. The First Main Theorem -- A1.2. The Logarithmic Derivative Lemma -- A1.3. The Second Main Theorem for Meromorphic Functions -- B1.1. Introduction to Diophantine Approximation -- B1.2. Roth's Theorem and Vojta's Dictionary -- B1.3. Proof of Roth's Theorem -- Ch. 2. Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth and Faltings -- A2.1. Some Lemmas -- A2.2. Divisors, Line Bundles, and the First Main Theorem -- A2.3. Holomorphic Curves in Compact Riemann Surfaces -- B2.1. Integral Points on Algebraic Curves -- B2.2. Curves of Genus 0 -- B2.3. Rational Points on Curves of Genus 1, Mordell-Weil Theorem -- B2.4. Integral Points on Curves of Genus 1, Siegel's Theorem -- B2.5. Curves of Genus Greater Than or Equal to Two, Theorem of Faltings -- Ch. 3. Holomorphic Curves in P[superscript n] (C) and Schmidt's Subspace Theorem -- A3.1. Cartan's Second Main Theorem -- ".
• catalog title "Nevanlinna theory and its relation to Diophantine approximation / Min Ru.".
• catalog type "text".