Algebra, Arithmetic and Geometry with Applications Book

	Preface	1
	A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments	15
	Smale Strategies for Prisoner's Dilemma Type Games	45
	Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities	49
	Thoughts on Symplectic Groups and Symplectic Equations	63
	Field Generators for the Quantum Plane	127
	Bounding Singular Surfaces of General Type	143
	Toric Modifications of Free Toric Varieties	175
	Recent Remarks on Analytical Equivalence	183
	Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations	189
	Note on Equisingularity in Codimension 1 and Characteristic p [actual symbol not reproducible] 0	203
	Toric Structure of the Graded Algebra Relative to a Valuation	219
	Postulation of Adjoint Ideals and Geometry of Projective Curves	235
	Belghitti-Gruson or Semple?	259
	2S[subscript 4] * Q[subscript 8]-extensions	263
	The Structure of Morphisms	273
	Around the Abhyankar-Moh Theorem	283
	PSL[subscript 2](11) is Admissible for All Number Fields	295
	Adjoints and Max Noether's Fundamentalsatz	301
	Continuity Loci for Polynomial Systems	315
	Asymptotically Optimal Towers of Curves over Finite Fields	325
	The Hilbert Series of Pfaffian Rings	337
	The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L-series	357
	General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring	381
	Exceptional Polynomials over Arbitrary Fields	457
	Abhyankar's Local Conjecture on Fundamental Groups	473
	Questions of Connectedness of the Hilbert Scheme of Curves in [actual symbol not reproducible][superscript 3]	487
	Catenary Local Rings with Geometrically Normal Formal Fibers	497
	Diamond Closure	511
	A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings	525
	Multiplicities of Singular Points in Schubert Varieties of Grassmannians	553
	Geometric Applications of the Residue Theorem on Algebraic Curves	565
	On p-Groups in Characterstic p	591
	Degree Two Generalized Iteration of q-Additive Polynomials	601
	Wild Singularites on the Fermat Curve over Z	609
	Algebraic Curves over [actual symbol not reproducible][subscript 3] with Many Rational Points	619
	Grobner Bases of Symmetric Quotients and Applications	627
	Abstract Embeddings of Concrete Matrix-Groups	639
	Some Generalization of Melville Theorem	667
	Multiple Planes Ramified over One-place Curves	673
	An Application of Generalized Newton Puiseux Expansions	687
	Elliptic Subfields and Automorphisms of Genus 2 Function Fields	703
	Some Ideas in the Classification of the Finite Simple Groups	725
	Abhyankar's Nice Equations	733
	The Scientific WorkPlace Computational Interface	745
	Diophantine Approximation in Finite Characteristic	757
	Puiseux Expansions in Nonzero Characteristic	767
	Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem	775
	Polynomials and Power Series	783
	Author Index	785