Algebraic Geometry and Commutative Algebra
In Honor of Masayoshi Nagata
Published on 10. May 2014
416 pages
978-1-4832-6518-6 (ISBN)
Description
Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.
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Algebraic Geometry and Commutative Algebra: v. 1
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03/1989
Academic Press
€110.18
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Content
Determinantal Loci and Enumerative Combinatorics of Young TableauxA Conjecture of Sharp - The Case of Local Rings with dim nonCM = 1 or dim = 5A Structure Theorem for Power Series RingsOn Rational Plane Sextics with Six TritangentsOn Rings of Invariants of Finite Linear GroupsInvariant DifferentialsClassification of Polarized Manifolds of Sectional Genus TwoAffine Surfaces with K = 1On the Convolution Algebra of Distributions on Totally Disconnected Locally Compact GroupsThe Local Cohomology Groups of an Affine Semigroup RingQuaternion ExtensionsOn the Discriminants of the Intersection Form on Néron-Severi GroupsOn Complete Ideals in Regular Local RingsOn a Compactification of a Moduli Space of Stable Vector Bundles on a Rational SurfaceOn the Dimension of Formal Fibres of a Local RingOn the Classification Problem of Embedded Lines in Characteristic pA Cancellation Theorem for Projective Modules over Finitely Generated RingsSemi-Ampleness of the Numerically Effective Part of Zariski Decomposition, IIOn the Moduli of Todorov SurfacesCurves, K3 Surfaces and Fano 3-Folds of Genus = 10Threefolds Homeomorphic to a Hyperquadric in P4On Weierstrass ModelsCanonical Bundles of Analytic Surfaces of Class VII0Ideal-Adic Completion of Noetherian Rings IIEndomorphism Algebras of Abelian VarietiesOn the Canonical Ring of a CurveAlgebraic Surfaces for Regular Systems of Weights (with an Appendix by Isao Naruki)Generic Torelli Theorem for Hypersurfaces in Compact Irreducible Hermitian Symmetric SpacesA Variety Which Contains a P1-Fiber Space as an Ample DivisorHow Coarse the Coarse Moduli Spaces for Curves Are?Elementary Transformations of Algebraic Vector Bundles IIDiscriminants of Curves of Genus 2 and Arithmetic SurfacesOn the Irreducibility of the Fürst Differential Equation of PainlevéStudy of F-purity in Dimension TwoA Note on the Existence of Some Curves
