Algebra, Arithmetic and Geometry with Applications

Papers from Shreeram S. Abhyankar's 70th Birthday Conference

By: Chris Christensen (Editor), Ganesh Sundaram (Editor), Avinash Sathaye (Editor)

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Paperback | 16 October 2003

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This volume is the proceedings of the Conference on Algebra and Algebraic Geometry with Applications which was held July 19 - 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. There were sessions on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem. This volume offers an outstanding collection of papers by authors who are among the experts in their areas.

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Preface	p. 1
A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments	p. 15
Smale Strategies for Prisoner's Dilemma Type Games	p. 45
Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities	p. 49
Thoughts on Symplectic Groups and Symplectic Equations	p. 63
Field Generators for the Quantum Plane	p. 127
Bounding Singular Surfaces of General Type	p. 143
Toric Modifications of Free Toric Varieties	p. 175
Recent Remarks on Analytical Equivalence	p. 183
Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations	p. 189
Note on Equisingularity in Codimension 1 and Characteristic p &neq; 0	p. 203
Toric Structure of the Graded Algebra Relative to a Valuation	p. 219
Postulation of Adjoint Ideals and Geometry of Projective Curves	p. 235
Belghitti-Gruson or Semple?	p. 259
2S₄ * Q₈-extensions	p. 263
The Structure of Morphisms	p. 273
Around the Abhyankar-Moh Theorem	p. 283
PSL₂(11) is Admissible for all Number Fields	p. 295
Adjoints and Max Noether's Fundamentalsatz	p. 301
Continuity Loci for Polynomial Systems	p. 315
Asymptotically Optimal Towers of Curves over Finite Fields	p. 325
The Hilbert Series of Pfaffian Rings	p. 337
The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L-series	p. 357
General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring	p. 381
Exceptional Polynomials over Arbitrary Fields	p. 457
Abhyankar's Local Conjecture on Fundamental Groups	p. 473
Questions of Connectedness of the Hilbert Scheme of Curves in <$>{op P}^3<$>	p. 487
Catenary Local Rings with Geometrically Normal Formal Fibers	p. 497
Diamond Closure	p. 511
A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings	p. 525
Multiplicities of Singular Points in Schubert Varieties of Grassmannians	p. 553
Geometric Applications of the Residue Theorem on Algebraic Curves	p. 565
On p-Groups in Characteristic p	p. 591
Degree Two Generalized Iteration of q-Additive Polynomials	p. 601
Wild Singularites on the Fermat Curve over Z	p. 609
Algebraic Curves over <$>{op F}_3<$> with Many Rational Points	p. 619
Gröbner Bases of Symmetric Quotients and Applications	p. 627
Abstract Embeddings of Concrete Matrix-Groups	p. 639
Some Generalization of Melville Theorem	p. 667
Multiple Planes Ramified over One-place Curves	p. 673
An Application of Generalized Newton Puiseux Expansions	p. 687
Elliptic Subfields and Automorphisms of Genus 2 Function Fields	p. 703
Some Ideas in the Classification of the Finite Simple Groups	p. 725
Abhyankar's Nice Equations	p. 733
The Scientific WorkPlace Computational Interface	p. 745
Diophantine Approximation in Finite Characteristic	p. 757
Puiseux Expansions in Nonzero Characteristic	p. 767
Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem	p. 775
Polynomials and Power Series	p. 783
Author Index	p. 785
Table of Contents provided by Publisher. All Rights Reserved.

Algebra, Arithmetic and Geometry with Applications

Papers from Shreeram S. Abhyankar's 70th Birthday Conference

At a Glance

Paperback

Shipping

How to return your order

Defective items

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