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

Table of Contents

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   Book Overview
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   Chapter 1 Preface to the Proceedings
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   Chapter 2 A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments
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   Chapter 3 Smale Strategies for Prisoner’s Dilemma Type Games
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   Chapter 4 Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities
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   Chapter 5 Thoughts on Symplectic Groups and Symplectic Equations
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   Chapter 6 Field Generators for the Quantum Plane
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   Chapter 7 Bounding Singular Surfaces of General Type
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   Chapter 8 Toric Modifications of Free Toric Varieties
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    Chapter 9 Recent Remarks on Analytical Equivalence
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    Chapter 10 Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations
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    Chapter 11 Note on Equisingularity in Codimension 1 and Characteristic p ≠ 0
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    Chapter 12 Toric Structure of the Graded Algebra Relative to a Valuation
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    Chapter 13 Postulation of Adjoint Ideals and Geometry of Projective Curves
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    Chapter 14 Belghitti-Gruson or Semple?
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    Chapter 15 2 S 4 * Q 8 -extensions
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    Chapter 16 The Structure of Morphisms
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    Chapter 17 Around the Abhyankar-Moh Theorem
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    Chapter 18 PSL 2 (11) is Admissible for all Number Fields
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    Chapter 19 Adjoints and Max Noether’s Fundamentalsatz
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    Chapter 20 Continuity Loci for Polynomial Systems
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    Chapter 21 Asymptotically Optimal Towers of Curves over Finite Fields
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    Chapter 22 The Hilbert Series of Pfaffian Rings
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    Chapter 23 The Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L -series
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    Chapter 24 General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring
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    Chapter 25 Exceptional Polynomials over Arbitrary Fields
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    Chapter 26 Abhyankar’s Local Conjecture on Fundamental Groups
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    Chapter 27 Questions of Connectedness of the Hilbert Scheme of Curves in ℙ 3
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    Chapter 28 Catenary Local Rings with Geometrically Normal Formal Fibers
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    Chapter 29 Diamond Closure
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    Chapter 30 A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings
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    Chapter 31 Multiplicities of Singular Points in Schubert Varieties of Grassmannians
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    Chapter 32 Geometric Applications of the Residue Theorem on Algebraic Curves
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    Chapter 33 On p -Groups in Characteristic p
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    Chapter 34 Degree Two Generalized Iteration of q-Additive Polynomials
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    Chapter 35 Wild Singularites on the Fermat Curve over Z
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    Chapter 36 Algebraic Curves over $$ \mathbb{F}_3 $$ with Many Rational Points
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    Chapter 37 Gröbner Bases of Symmetric Quotients and Applications
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    Chapter 38 Abstract Embeddings of Concrete Matrix-Groups
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    Chapter 39 Some Generalization of Melville Theorem
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    Chapter 40 Multiple Planes Ramified over One-place Curves
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    Chapter 41 An Application of Generalized Newton Puiseux Expansions to a Conjecture of D. Daigle and G. Freudenburg
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    Chapter 42 Elliptic Subfields and Automorphisms of Genus 2 Function Fields
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    Chapter 43 Some Ideas in the Classification of the Finite Simple Groups
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    Chapter 44 Abhyankar’s Nice Equations
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    Chapter 45 The Scientific WorkPlace Computational Interface
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    Chapter 46 Diophantine Approximation in Finite Characteristic
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    Chapter 47 Puiseux Expansions in Nonzero Characteristic
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    Chapter 48 Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem
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    Chapter 49 Polynomials and Power Series