This volume is the proceedings of the Conference on Algebra and Algebraic Geometry with Applications which was held July 19 - 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. There were sessions on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the…mehr
This volume is the proceedings of the Conference on Algebra and Algebraic Geometry with Applications which was held July 19 - 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. There were sessions on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem. This volume offers an outstanding collection of papers by authors who are among the experts in their areas.
Chris Christensen, Northern Kentucky University, Highland Heights, KY, USA / Ganesh Sundaram, Bell Labs, Whippany, NJ, USA / Avinash Sathaye, University of Kentucky, Lexington KY, USA
Inhaltsangabe
Christenses and Sundaram: Preface.- Hari Abhyankar: A Robust Computationally Efficient Methodology to Set Service Levels for Components in Asseble-to-Order Environments.- Kashi Abhyankar: Smale Strategies for Prisoner's Dilemma Type Games.- Shreedhar S. Abhyankar: Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities.- Shreeram S. Abhyankar and N. Inglis: Thoughts on Symplectic Groups and Symplectic Equations.- J. Alev and F. Dumas: Field Generators for the Quantum Plane.- V. Alexeev and S. Mori: Bounding Singular Surfaces of General Type.- Assi and M. Barile: Toric Modifications of Free Toric Varieties.- A. Azevedo: Recent Remarks on Analytic Equivalence.- R. Berger: Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations.- Isabel Bermejo: Note on Equisingularity in Codimension 1 and Characteristic p ungleich 0.- A. Campillo and C. Galindo: Toric Structure of the Graded Algebra Relative to a Valuation.- N. Chiarli, S. Greco, and R. Notari: Postulation of Adjoint Ideals and Geometry of Projective Curves.- V. Cossart: Belghitti-Gruson or Semple?- T. Crespo: 2S4 * Q8-extensions.- D. Cutkosky: The Structure of Morphisms.- A. van den Essen: Around the Abhyankar-Moh Theorem.- W. Feit: PSL2(11) is Admissible for all Number Fields.- W. Fulton: Adjoints and Max Noether's Fundamentalsatz.- A. Galligo and M. Kwiecinski : Continuity Loci for Polynomial Systems.- E. Gekeler: Asymptotically Optimal Towers of Curves over Finite Fields.- S. R. Ghorpade and C. Krattenhaler: The Hilbert Series of Pfaffian Rings.- D. Goss: The Impact of the Infinite Primes on the Riemann Hypotesis for Characteristic p Valued L-series.- S. Greco and K. Kiyek: General Elements of Complete Ideals and Valuations Centered at a Two-dimensionalRegular Local Ring.- R. Guralnick and J. Saxl: Exceptional Polynomials over Arbitrary Fields.- D. Harbater and K. Stevenson: Abhyankar's Local Conjecture on Fundamental Groups.- R. Hartshorne: Connectedness of the Hilbert Scheme.- W. Heinzer, C. Rotthaus, and S. Wiegand: Catenary Local Rings with Geometrically Normal Formal Fibers.- M. Hochster and J. D. Velez: Diamond Closure.- C. Krattenhaler and M. Rubey: A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings.- V. Kreiman and V. Lakshmibai: Multiplicities of Singular Points in Schubert Varieties of Grassmannians.- E. Kunz: Geometric Applications of the Residue Theorem on Algebraic Curves.- A. Ledet: On p-groups in Characteristic p.- P. Loomis: Degree Two Generalized Iteration of q-Additive Polynomials.- H. Maeda: Wild Singularities on the Fermat Curve over Z.- I. Luengo and B. Lopez: Curves over F3 with Many Rational Points.- R. Michler: Gröbner Bases of Symmetric Quotients and Applications.- S. Mulay: Abstract Embeddings of Concrete Matrix Groups.- K. Ponomarev: Some Generalization of Melville Theorem.- P. Russell: Multiple Planes Ramified over One-place Curves.- T. Shaska and H. Volklein: Elliptic Subfields and Automorphisms of Genus 2 Function Fields.- G. Stroth: Some Ideas in the Classification of the Finite Simple Groups.- G. S. Sundaram: A Survey of Abhyankar's Nice Equations.- S. L. Swanson: The Scientific Workplace Computational Interface.- D. Thakur: Diophantine Approximation.- S. Vaidya: Puiseux Expansions in Nonzero Characteristic.- N. Vila: Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem.- A. Sathaye Focusing an Application of Generalized Newton Puiseux Expansions.- Abyankar's poem: Polynomials and Power Series.
Christenses and Sundaram: Preface.- Hari Abhyankar: A Robust Computationally Efficient Methodology to Set Service Levels for Components in Asseble-to-Order Environments.- Kashi Abhyankar: Smale Strategies for Prisoner's Dilemma Type Games.- Shreedhar S. Abhyankar: Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities.- Shreeram S. Abhyankar and N. Inglis: Thoughts on Symplectic Groups and Symplectic Equations.- J. Alev and F. Dumas: Field Generators for the Quantum Plane.- V. Alexeev and S. Mori: Bounding Singular Surfaces of General Type.- Assi and M. Barile: Toric Modifications of Free Toric Varieties.- A. Azevedo: Recent Remarks on Analytic Equivalence.- R. Berger: Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations.- Isabel Bermejo: Note on Equisingularity in Codimension 1 and Characteristic p ungleich 0.- A. Campillo and C. Galindo: Toric Structure of the Graded Algebra Relative to a Valuation.- N. Chiarli, S. Greco, and R. Notari: Postulation of Adjoint Ideals and Geometry of Projective Curves.- V. Cossart: Belghitti-Gruson or Semple?- T. Crespo: 2S4 * Q8-extensions.- D. Cutkosky: The Structure of Morphisms.- A. van den Essen: Around the Abhyankar-Moh Theorem.- W. Feit: PSL2(11) is Admissible for all Number Fields.- W. Fulton: Adjoints and Max Noether's Fundamentalsatz.- A. Galligo and M. Kwiecinski : Continuity Loci for Polynomial Systems.- E. Gekeler: Asymptotically Optimal Towers of Curves over Finite Fields.- S. R. Ghorpade and C. Krattenhaler: The Hilbert Series of Pfaffian Rings.- D. Goss: The Impact of the Infinite Primes on the Riemann Hypotesis for Characteristic p Valued L-series.- S. Greco and K. Kiyek: General Elements of Complete Ideals and Valuations Centered at a Two-dimensionalRegular Local Ring.- R. Guralnick and J. Saxl: Exceptional Polynomials over Arbitrary Fields.- D. Harbater and K. Stevenson: Abhyankar's Local Conjecture on Fundamental Groups.- R. Hartshorne: Connectedness of the Hilbert Scheme.- W. Heinzer, C. Rotthaus, and S. Wiegand: Catenary Local Rings with Geometrically Normal Formal Fibers.- M. Hochster and J. D. Velez: Diamond Closure.- C. Krattenhaler and M. Rubey: A Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings.- V. Kreiman and V. Lakshmibai: Multiplicities of Singular Points in Schubert Varieties of Grassmannians.- E. Kunz: Geometric Applications of the Residue Theorem on Algebraic Curves.- A. Ledet: On p-groups in Characteristic p.- P. Loomis: Degree Two Generalized Iteration of q-Additive Polynomials.- H. Maeda: Wild Singularities on the Fermat Curve over Z.- I. Luengo and B. Lopez: Curves over F3 with Many Rational Points.- R. Michler: Gröbner Bases of Symmetric Quotients and Applications.- S. Mulay: Abstract Embeddings of Concrete Matrix Groups.- K. Ponomarev: Some Generalization of Melville Theorem.- P. Russell: Multiple Planes Ramified over One-place Curves.- T. Shaska and H. Volklein: Elliptic Subfields and Automorphisms of Genus 2 Function Fields.- G. Stroth: Some Ideas in the Classification of the Finite Simple Groups.- G. S. Sundaram: A Survey of Abhyankar's Nice Equations.- S. L. Swanson: The Scientific Workplace Computational Interface.- D. Thakur: Diophantine Approximation.- S. Vaidya: Puiseux Expansions in Nonzero Characteristic.- N. Vila: Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem.- A. Sathaye Focusing an Application of Generalized Newton Puiseux Expansions.- Abyankar's poem: Polynomials and Power Series.
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