Ebook: Algebra, Arithmetic and Geometry with Applications: Papers from Shreeram S. Abhyankar’s 70th Birthday Conference

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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 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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 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.

Content:
Front Matter....Pages I-XVI
Preface to the Proceedings....Pages 1-13
A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments....Pages 15-43
Smale Strategies for Prisoner’s Dilemma Type Games....Pages 45-48
Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities....Pages 49-61
Thoughts on Symplectic Groups and Symplectic Equations....Pages 63-126
Field Generators for the Quantum Plane....Pages 127-141
Bounding Singular Surfaces of General Type....Pages 143-174
Toric Modifications of Free Toric Varieties....Pages 175-182
Recent Remarks on Analytical Equivalence....Pages 183-188
Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations....Pages 189-201
Note on Equisingularity in Codimension 1 and Characteristic p ? 0....Pages 203-218
Toric Structure of the Graded Algebra Relative to a Valuation....Pages 219-234
Postulation of Adjoint Ideals and Geometry of Projective Curves....Pages 235-257
Belghitti-Gruson or Semple?....Pages 259-262
The Structure of Morphisms....Pages 263-272
Around the Abhyankar-Moh Theorem....Pages 273-281
Adjoints and Max Noether’s Fundamentalsatz....Pages 283-294
Continuity Loci for Polynomial Systems....Pages 295-299
Asymptotically Optimal Towers of Curves over Finite Fields....Pages 301-313
The Hilbert Series of Pfaffian Rings....Pages 315-324
The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L-series....Pages 325-336
General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring....Pages 337-356
Exceptional Polynomials over Arbitrary Fields....Pages 357-380
Abhyankar’s Local Conjecture on Fundamental Groups....Pages 381-455
Catenary Local Rings with Geometrically Normal Formal Fibers....Pages 457-472
Diamond Closure....Pages 473-485
A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings....Pages 487-495
Multiplicities of Singular Points in Schubert Varieties of Grassmannians....Pages 497-510
Geometric Applications of the Residue Theorem on Algebraic Curves....Pages 511-523
Degree Two Generalized Iteration of q-Additive Polynomials....Pages 525-551
Wild Singularites on the Fermat Curve over Z....Pages 553-563
Gr?bner Bases of Symmetric Quotients and Applications....Pages 565-589
Abstract Embeddings of Concrete Matrix-Groups....Pages 591-600
Some Generalization of Melville Theorem....Pages 601-608
Multiple Planes Ramified over One-place Curves....Pages 609-618
An Application of Generalized Newton Puiseux Expansions to a Conjecture of D. Daigle and G. Freudenburg....Pages 619-626
Elliptic Subfields and Automorphisms of Genus 2 Function Fields....Pages 627-637
Some Ideas in the Classification of the Finite Simple Groups....Pages 639-666
Abhyankar’s Nice Equations....Pages 667-672
The Scientific WorkPlace Computational Interface....Pages 673-685
Diophantine Approximation in Finite Characteristic....Pages 687-701
Puiseux Expansions in Nonzero Characteristic....Pages 703-723
Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem....Pages 725-731
Polynomials and Power Series....Pages 733-744
Back Matter....Pages 745-755
....Pages 757-765