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.
Part I: Fourier analysis in number fields and Hecke's zeta-functions by
J. T. Tate
A note on finite ring extensions by E. Artin and J. T. Tate
On the relation between extremal points of convex sets and homomorphisms of
algebras by J. Tate
Genus change in inseparable extensions of function fields by J. Tate
On Chevalley's proof of Luroth's theorem by S. Lang and J. Tate
The higher dimensional cohomology groups of class field theory by J. Tate
The cohomology groups of algebraic number fields by J. T. Tate
On the Galois cohomology of unramified extensions of function fields in one
variable by Y. Kawada and J. Tate
On the characters of finite groups by R. Brauer and J. Tate
Homology of Noetherian rings and local rings by J. Tate
WC-groups over $p$-adic fields by J. Tate
On the inequality of Castelnuovo-Severi by E. Artin and J. Tate
On the inequality of Castelnuovo-Severi, and Hodge's theorem by J. Tate
Principal homogeneous spaces over abelian varieties by S. Lang and J. Tate
Principal homogeneous spaces for abelian varieties by J. Tate
A different with an odd class by A. Frohlich, J.-P. Serre, and J. Tate
Nilpotent quotient groups by J. Tate
Duality theorems in Galois cohomology over number fields by J. Tate
Ramification groups of local fields by S. Sen and J. Tate
Formal complex multiplication in local fields by J. Lubin and J. Tate
Algebraic cycles and poles of zeta functions by J. T. Tate
Elliptic curves and formal groups by J. Lubin, J. Serre, and J. Tate
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog by J.
Tate
Formal moduli for one-parameter formal Lie groups by J. Lubin and J. Tate
The cohomology groups of tori in finite Galois extensions of number fields by
J. Tate
Global class field theory by J. T. Tate
Endomorphisms of abelian varieties over finite fields by J. Tate
The rank of elliptic curves by J. T. Tate and I. R. Safarevic
Residues of differentials on curves by J. Tate
$p$-divisible groups by J. T. Tate
The work of David Mumford by J. Tate
Classes d'isogenie des varietes abeliennes sur un corps fini (d'apres T.
Honda) by J. Tate
Good reduction of abelian varieties by J.-P. Serre and J. Tate
Group schemes of prime order by J. Tate and F. Oort
Symbols in arithmetic by J. Tate
Rigid analytic spaces by J. Tate
The Milnor ring of a global field by H. Bass and J. Tate
Appendix by H. Bass and J. Tate
Letter from Tate to Iwasawa on a relation between $K_2$ and Galois cohomology
by J. Tate
Points of order 13 on elliptic curves by B. Mazur and J. Tate
The arithmetic of elliptic curves by J. T. Tate
The 1974 Fields Medals (I): An algebraic geometer by J. Tate
Algorithm for determining the type of a singular fiber in an elliptic pencil
by J. Tate
Letters by J. Tate
Barry Mazur, Harvard University, Cambridge, MA, USA.
Jean-Pierre Serre, College de France, Paris, France.
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