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Full Description
In these volumes, a reader will find all of John Tate's published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
Contents
Part II: Problem 9: The general reciprocity law by J. Tate
Relations between $K_2$ and Galois cohomology by J. Tate
Local constants by J. T. Tate
On the torsion in $K_2$ of fields by J. Tate
Fields medals (IV): An instinct for the key idea by J. Tate
A simple proof of the main theorem of elimination theory in algebraic geometry by P. Cartier and J. Tate
Number theoretic background by J. Tate
The Harish-Satake transform on $GL_r$ by J. Tate
Brumer-Stark-Stickelberger by J. Tate
On conjugation of abelian varieties of CM type by J. Tate
On Stark's conjectures on the behavior of $L(s,\chi)$ at $s=0$ by J. Tate
Variation of the canonical height of a point depending on a parameter by J. Tate
A reciprocity law for $K_2$-traces by S. Rosset and J. Tate
Canonical height pairings via Biextensions by B. Mazur and J. Tate
On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer by B. Mazur, J. Tate, and J. Teitelbaum
Refined conjectures of the ``Birch and Swinnerton-Dyer type'' by B. Mazur and J. Tate
Commentary on algebra by B. Gross and J. Tate
Some algebras associated to automorphisms of elliptic curves by M. Artin, J. Tate, and M. Van den Bergh
The $p$-adic sigma function by B. Mazur and J. Tate
Quantum deformations of $GL_n$ by M. Artin, W. Schelter, and J. Tate
Modules over regular algebras of dimension 3 by M. Artin, J. Tate, and M. Van den Bergh
Conjectures on algebraic cycles in $\ell$-adic cohomology by J. Tate
The center of the 3-dimensional and 4-dimensional Sklyanin algebras by S. P. Smith and J. Tate
The non-existence of certain Galois extensions of $\mathbb{Q}$ unramified outside 2 by J. Tate
The centers of 3-dimensional Sklyanin algebras by M. Artin, W. Schelter, and J. Tate
A review of non-Archimedean elliptic functions by J. Tate
Homological properties of Sklyanin algebras by J. Tate and M. Van den Bergh
Linear forms in $p$-adic roots of unity by J. Tate and J. F. Voloch
Finite flat group schemes by J. Tate
Bernard Dwork (1923-1998) by N. M. Katz and J. Tate
Galois cohomology by J. Tate
On a conjecture of Finotti by J. Tate
Refining Gross's conjecture on the values of abelian $L$-functions by J. Tate
On the Jacobians of plane cubics by M. Artin, F. Rodriguez-Villegas, and J. Tate
Computation of $p$-adic heights and log convergence by B. Mazur, W. Stein, and J. Tate
Letters by J. Tate
