FINITE GROUP SCHEMES OVER BASES WITH LOW RAMIFICATION BRIAN CONRAD Abstract. Let A0 be a complete characteristic (0, p) discrete valuation ring with absolute ramification degree e and a perfect residue field. We are inte

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Dense subfields of henselian fields, and integer parts∗ Franz-Viktor KuhlmannAbstract We show that every henselian valued field L of residue characteristic 0 admits a proper

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ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

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• Algebra
• Mathematics
• Abstract algebra
• Modular forms
• Field theory
• Analytic number theory
• Operator theory
• Algebraic geometry
• Eigenform
• P-adic modular form
• Elliptic curve
• Valuation

SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look at the last digit,” with the idea of cheaply pulling out possible factors of

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• Mathematics
• Integer factorization algorithms
• Number theory
• Quadratic sieve
• Special number field sieve
• Quadratic residue
• General number field sieve
• Prime number
• Lenstra elliptic curve factorization
• Sieve of Eratosthenes
• Euclidean algorithm
• Prime-counting function

ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

Source URL: www2.math.kyushu-u.ac.jp

• Algebra
• Mathematics
• Abstract algebra
• Operator theory
• Field theory
• Analytic number theory
• Modular forms
• Algebraic geometry
• Eigenform
• Elliptic curve
• Valuation
• Algebraic number field

Prowl H2O Herbicide Prowl® H2O herbicide is a water-based formulation that helps maximize herbicide availability for residual weed control through excellent surface stability and reduced binding to field residue. Prowl

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• Biology
• Plants
• Botany
• Natural environment
• Environmental issues
• Nitrobenzenes
• Pendimethalin
• Herbicide
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• Weed
• H2O
• Foxtail

RAMIFICATION THEORY AND PERFECTOID SPACES SHIN HATTORI Abstract. Let K1 and K2 be complete discrete valuation fields of residue characteristic p > 0. Let πK1 and πK2 be their uniformizers. Let L1 /K1 and L2 /K2 be fini

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• Algebra
• Abstract algebra
• Mathematics
• Field theory
• Commutative algebra
• Ring theory
• Localization
• Algebraic structures
• Valuation
• Discrete valuation ring
• Discrete valuation
• P-adic number

5 Documenta Math. Ramification of Local Fields with Imperfect Residue Fields II

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Commutative algebra
• Field theory
• Valuation
• Smooth morphism
• Flat morphism
• Sheaf
• Integral element
• tale morphism

479 Documenta Math. Kato Homology of Arithmetic Schemes and Higher Class Field Theory

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• Cohomology theories
• Algebraic geometry
• Algebraic number theory
• Homological algebra
• Conjectures
• Motivic cohomology
• Algebraic K-theory
• Cohomology
• tale cohomology
• Milnor K-theory
• Norm residue isomorphism theorem
• Brauer group

GLOBAL SOLVABLY CLOSED ANABELIAN GEOMETRY Shinichi Mochizuki July 2006 

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• Galois theory
• Algebraic number theory
• Class field theory
• Galois group
• Splitting of prime ideals in Galois extensions
• Galois extension
• tale fundamental group
• Galois cohomology
• Norm residue isomorphism theorem
• Abelian extension
• Field extension
• Fundamental theorem of Galois theory