Algebraic Geometry

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Author(s): Abhyankar Artin et al.
Series: Tata Institute of Fundamental Research. Studies in mathematics 4
Publisher: OUP
Year: 1969

Language: English
Pages: 457

Report......Page 5
S. S. Abhyankar : Resolution of Singularities of Algebraic Surfaces......Page 10
M. Artin : The Implicit Function Theorem in Algebraic Geometry......Page 22
B. J. Birch : Diophantine Analysis and Modular Functions......Page 46
A. Borel : On the Automorphisms of Certain Subgroups of Semi-Simple Lie Groups......Page 55
A. Borel and J. Tits : On ``Abstract'' Homomorphisms of Simple Algebraic Groups......Page 87
J. W. S. Cassels : Rational Points on Curves of Higher Genus......Page 96
B. Dwork : A Deformation Theory for Singular Hyper-surfaces......Page 97
P. A. Griffiths : Some Results on Algebraic Cycles on Algebraic Manifolds......Page 105
A. Grothendieck : Standard Conjectures on Algebraic Cycles......Page 214
H. Hironaka : Formal Line Bundles along Exceptional Loci......Page 221
F. Hirzebruch and K. Jänich : Involutions and Singularities......Page 239
J-I. Igusa : Geometric and Analytic Methods in the Theory of Theta-Functions......Page 263
Yu. I. Manin : On Some Groups Related to Cubic Hyper-surfaces......Page 277
T. Matsusaka : On Canonically Polarized Varieties......Page 287
D. Mumford : Bi-Extensions of Formal Groups......Page 330
M. Nagata : Some Questions on Rational Actions of Groups......Page 347
M. S. Narasimhan and S. Ramanan : Vector Bundles on Curves......Page 359
C. S. Seshadri : Mumford's Conjecture for GL(2) and Applications......Page 372
T. A. Springer : The Unipotent Variety of a Semi-Simple Group......Page 398
J.-L. Verdier : Base Change for Twisted Inverse Image of Coherent Sheaves......Page 417
A. Weil : Zeta-Functions and Mellin Transforms......Page 435