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Norm and trace: pdf.
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Sign of discriminant: pdf.
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Some vertical factorization: pdf.
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Discriminant ideals: pdf.
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Etale algebras: pdf.
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Transitivity of discriminants: pdf.
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Class groups and quadratic forms: pdf.
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Norm method to get class group relations: pdf.
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Absolute values: pdf.
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S-integer lattice: pdf.
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Adeles as dual group: pdf.
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Adelic lattice: pdf.
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Completion of algebraic closure:
pdf.
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Character associated to a quadratic field
pdf.
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Tameness and composite fields:
pdf.
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Examples concerning extensions of local fields
pdf.
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Higher ramification groups
pdf.
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Surjectivity for inertia and wild inertia groups
pdf.
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Global extensions approximating local extensions
pdf.
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Compactness results for the idele group
pdf.
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Lecture notes of Schoof on algebraic number theory
pdf.
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