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ramification index (Definition)
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"ramification index" is owned by djao. [ full author list (2) | owner history (1) ]
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See Also: number field, decomposition group, unramified extensions and class number divisibility, splitting and ramification in number fields and Galois extensions

Other names:  ramify, ramified, unramified, ramification degree, ramification
Also defines:  branch point, ramification point

Attachments:
splitting and ramification in number fields and Galois extensions (Definition) by alozano
ramification of archimedean places (Definition) by alozano
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Cross-references: analytic geometry, algebraic geometry, algebraic structure, analytic structure, power series, isomorphic, Taylor expansions, germs, analytic, domain, behavior, charts, local coordinate, Riemann surfaces, holomorphic, geometry, complex, regular local rings, sheaves, structure, prime spectrum, locally ringed spaces, stalk, morphism of locally ringed spaces, straight, jump, open covers, projective varieties, characterization, principal ideals, principal ideal domain, subring, variable, polynomial ring, line, multiplicities, number theory, coordinate, affine varieties, dimensions, locus, real, near, graph, index, thousand, morphism, vanish, functions, regular, rational functions, size, inverse image, finite set, function fields, fiber, generic, points, number, degree, field, algebraically closed, varieties, irreducible, nonsingular, mean, curves, regular morphism, section, finitely generated, equation, equality, inertial degree, ranges, integral closure, fraction fields, Dedekind domains, completions, maximal ideals, limit, algebraic, rings, unique factorization domains, induces, ring homomorphism, even, discrete valuation rings, homomorphism, localizations, map, induced, local rings, terms, interpretation, equivalent, transitive, Galois group, indices, Galois extension, prime, natural number, exponents, factors, ideal, ring of integers, prime ideal, number fields, extension
There are 46 references to this entry.

This is version 14 of ramification index, born on 2002-04-23, modified 2005-03-15.
Object id is 2868, canonical name is Ramify.
Accessed 19229 times total.

Classification:
AMS MSC11S15 (Number theory :: Algebraic number theory: local and $p$-adic fields :: Ramification and extension theory)
 14E22 (Algebraic geometry :: Birational geometry :: Ramification problems)
 13B02 (Commutative rings and algebras :: Ring extensions and related topics :: Extension theory)
 12F99 (Field theory and polynomials :: Field extensions :: Miscellaneous)
 30F99 (Functions of a complex variable :: Riemann surfaces :: Miscellaneous)
 30F99 (Functions of a complex variable :: Riemann surfaces :: Miscellaneous)

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