Title | Algebra, Arithmetic and Geometry with Applications [electronic resource] : Papers from Shreeram S. Abhyankar's 70th Birthday Conference / edited by Chris Christensen, Avinash Sathaye, Ganesh Sundaram, Chandrajit Bajaj |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-642-18487-1 |
Descript | XVI, 785 p. online resource |
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 the Residue 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 -- Grรถbner 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