Algebra, Arithmetic and Geometry with Applications

Preface.- A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments.- Smale Strategies for Prisoner's Dilemma Type Games.- Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities.- Thoughts on Symplectic Groups and Symplectic Equations.- Field Generators for the Quantum Plane.- Bounding Singular Surfaces of General Type.- Toric Modifications of Free Toric Varieties.- Recent Remarks on Analytical Equivalence.- Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations.- Note on Equisingularity in Codimension 1 and Characteristic p ? = 0.- Toric Structure of the Graded Algebra Relative to a Valuation.- Postulation of Adjoint Ideals and Geometry of Projective Curves.- Belghitti-Gruson or Semple?.- 2S4*Q8-extensions.- The Structure of Morphisms.- Around the Abhyankar-Moh Theorem.- PSL2(11) is Admissible for all Number Fields.- Adjoints and Max Noether's Fundamentalsatz.- Continuity Loci for Polynomial Systems.- Asymptotically Optimal Towers of Curves over Finite Fields.- The Hilbert Series of Pfaffian Rings.- The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L-series.- General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring.- Exceptional Polynomials over Arbitrary Fields.- Abhyankar's Local Conjecture on Fundamental Groups.- Questions of Connectedness of the Hilbert Scheme of Curves in ?3.- Catenary Local Rings with Geometrically Normal Formal Fibers.- Diamond Closure.- A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings.- Multiplicities of Singular Points in Schubert Varieties of Grassmannians.- Geometric Applications of theResidue Theorem on Algebraic Curves.- On p-Groups in Characteristic p.- Degree Two Generalized Iteration of q-Additive Polynomials.- Wild Singularites on the Fermat Curve over Z.- Algebraic Curves over F3 with Many Rational Points.- Gröbner Bases of Symmetric Quotients and Applications.- Abstract Embeddings of Concrete Matrix-Groups.- Some Generalization of Melville Theorem.- Multiple Planes Ramified over One-place Curves.- An Application of Generalized Newton Puiseux Expansions.- Elliptic Subfields and Automorphisms of Genus 2 Function Fields.- Some Ideas in the Classification of the Finite Simple Groups.- Abhyankar's Nice Equations.- The Scientific WorkPlace Computational Interface.- Diophantine Approximation in Finite Characteristic.- Puiseux Expansions in Nonzero Characteristic.- Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem.- Polynomials and Power Series.- Author Index.