04430nam 22014175 450 991015475440332120190708092533.01-4008-8139-010.1515/9781400881390(CKB)3710000000618944(MiAaPQ)EBC4738738(DE-B1597)467933(OCoLC)954124262(OCoLC)990668184(DE-B1597)9781400881390(EXLCZ)99371000000061894420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierRamification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 /Shreeram Shankar AbhyankarPrinceton, NJ : Princeton University Press, [2016]©19591 online resource (117 pages)Annals of Mathematics Studies ;2350-691-08023-2 Includes bibliography.Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHYThe description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43, will be forthcoming.Annals of mathematics studies ;no. 43.Algebraic fieldsGeometry, AlgebraicAbelian group.Abstract algebra.Additive group.Affine variety.Algebraic closure.Algebraic curve.Algebraic equation.Algebraic function field.Algebraic function.Algebraic geometry.Algebraic number theory.Algebraic surface.Algebraic variety.Big O notation.Birational geometry.Branch point.Cardinal number.Cardinality.Complex number.Degrees of freedom (statistics).Dimension.Equation.Equivalence class.Existential quantification.Field extension.Field of fractions.Foundations of Algebraic Geometry.Function field.Galois group.Generic point.Ground field.Homomorphism.Ideal theory.Integer.Irrational number.Irreducible component.Linear algebra.Local ring.Mathematics.Max Noether.Maximal element.Maximal ideal.Natural number.Nilpotent.Noetherian ring.Null set.Order by.Order type.Parameter.Primary ideal.Prime ideal.Prime number.Projective variety.Quantity.Quotient ring.Ramification group.Rational function.Rational number.Real number.Resolution of singularities.Riemann surface.Ring (mathematics).Special case.Splitting field.Subgroup.Subset.Theorem.Theory of equations.Transcendence degree.Two-dimensional space.Uniformization.Valuation ring.Variable (mathematics).Vector space.Zero divisor.Zorn's lemma.Algebraic fields.Geometry, Algebraic.512.815SI 830rvkAbhyankar Shreeram Shankar, 478853DE-B1597DE-B1597BOOK9910154754403321Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 432787592UNINA