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

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
2 S 4 * Q 8 -extensions....Pages 263-272
The Structure of Morphisms....Pages 273-281
Around the Abhyankar-Moh Theorem....Pages 283-294
 PSL 2 (11) is Admissible for all Number Fields....Pages 295-299
Adjoints and Max Noether’s Fundamentalsatz....Pages 301-313
Continuity Loci for Polynomial Systems....Pages 315-324
Asymptotically Optimal Towers of Curves over Finite Fields....Pages 325-336
The Hilbert Series of Pfaffian Rings....Pages 337-356
The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L -series....Pages 357-380
General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring....Pages 381-455
Exceptional Polynomials over Arbitrary Fields....Pages 457-472
Abhyankar’s Local Conjecture on Fundamental Groups....Pages 473-485
Questions of Connectedness of the Hilbert Scheme of Curves in ℙ 3 ....Pages 487-495
Catenary Local Rings with Geometrically Normal Formal Fibers....Pages 497-510
Diamond Closure....Pages 511-523
A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings....Pages 525-551
Multiplicities of Singular Points in Schubert Varieties of Grassmannians....Pages 553-563
Geometric Applications of the Residue Theorem on Algebraic Curves....Pages 565-589
On p -Groups in Characteristic p ....Pages 591-600
Degree Two Generalized Iteration of q-Additive Polynomials....Pages 601-608
Wild Singularites on the Fermat Curve over Z....Pages 609-618
Gröbner Bases of Symmetric Quotients and Applications....Pages 619-626
Abstract Embeddings of Concrete Matrix-Groups....Pages 627-637
Some Generalization of Melville Theorem....Pages 639-666
Multiple Planes Ramified over One-place Curves....Pages 667-672
An Application of Generalized Newton Puiseux Expansions to a Conjecture of D. Daigle and G. Freudenburg....Pages 673-685
Elliptic Subfields and Automorphisms of Genus 2 Function Fields....Pages 687-701
Some Ideas in the Classification of the Finite Simple Groups....Pages 703-723
Abhyankar’s Nice Equations....Pages 725-731
The Scientific WorkPlace Computational Interface....Pages 733-744
Diophantine Approximation in Finite Characteristic....Pages 745-755
Puiseux Expansions in Nonzero Characteristic....Pages 757-765
Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem....Pages 767-774
Polynomials and Power Series....Pages 775-782
Back Matter....Pages 783-784
....Pages 785-785