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目次情報: 続きを見る

Introduction and Historical Survey / 1：

Linear Independence of Logarithms of Algebraic Numbers / Part I：

Transcendence Proofs in One Variable / 2：

Heights of Algebraic Numbers / 3：

The Criterion of Schneider-Lang / 4：

Zero Estimate / 5：

Measures of Linear Independence / 6：

A First Measure with a Simple Proof / 7：

Zero Estimate (Continued), by Damien ROY / 8：

Refined Measure / 9：

Multiplicities in Higher Dimension / III：

Multiplicity Estimates, by Damien ROY / 10：

Interpolation Determinants with One Derivative / 11：

On Baker's Method / 12：

The Linear Subgroup Theorem / Part IV：

Points Whose Coordinates are Logarithms of Algebraic Numbers / 13：

Lower Bounds for the Rank of Matrices / 14：

Simultaneous Approximation of Values of the Exponential Function in Several Variables / Part V：

A Quantitative Version of the Linear Subgroup Theorem / 15：

Applications to Diophantine Approximation / 16：

Algebraic Independence / 17：

References

Introduction and Historical Survey / 1：

Linear Independence of Logarithms of Algebraic Numbers / Part I：

Transcendence Proofs in One Variable / 2：

目次情報: 続きを見る

Classical groups as linear algebraic groups / 1：

Basic structure of classical groups / 2：

Algebras and representations / 3：

Polynomials and tensor invariants / 4：

Highest weight theory / 5：

Spinors / 6：

Cohomology and characters / 7：

Branching laws / 8：

Tensor representations of GL(V) / 9：

Tensor represenations of O(V) and Sp(V) / 10：

Algebraic groups and homogeneous spaces / 11：

Representations on Aff(X) / 12：

Algebraic geometry / A：

Linear and multilinear algebra / B：

Associative algebras and Lie algebras / C：

Manifolds and Lie groups / D：

Classical groups as linear algebraic groups / 1：

Basic structure of classical groups / 2：

Algebras and representations / 3：