Valuation theory
1 research manuscript in mathematics. Catalogue areas: Valuation theory.
Results in Valuation theory
- Selected result:
Depth-one Artin–Schreier defect towers are composita
ProvedNart–Novacoski conjecture on depth-one Artin–Schreier defect towers
Over a perfect henselian K ⊆ k((y^ℚ)) containing k(y) without finite accumulation points (k algebraically closed, char. p), each nontrivial finite Artin–Schreier tower of depth one is a compositum of Artin–Schreier extensions.
Manuscript: Depth-one Artin–Schreier defect towers are compositaLean proof: Depth-one Artin–Schreier defect towers are compositaVerification: Depth-one Artin–Schreier defect towers are composita
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Discrete analysis, tilings, probability and entropyOptimizationQuantum informationMatrix theoryMatroid theorySampling algorithms and information theoryGraph theory and graph polynomialsInteger sequences and combinatoricsFinite geometryQuadratic forms and number theoryBoolean functions and decision treesInequalities and real analysisProof complexityFair divisionStochastic thermodynamics