Diagonal forms of higher degree over function fields of p-adic curves

DOI10.1142/S1793042120500098zbMath1442.11071arXiv1705.08159OpenAlexW2619837859MaRDI QIDQ5213986

Susanne Pumplün

Publication date: 6 February 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08159

zbMATH Keywords

function fields\(u\)-invariantdiagonal formsforms of higher degree\(p\)-adic curves

Mathematics Subject Classification ID

Forms of degree higher than two (11E76)

Cites Work

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• A Springer theorem for higher degree forms
• Patching over fields
• \(u\)-invariants for forms of higher degree
• Applications of patching to quadratic forms and central simple algebras
• A Grothendieck ring of higher degree forms
• Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves
• Orthogonal groups of nonsingular forms of higher degree
• Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed
• Forms of low degree in finite fields
• Witt rings of higher degree forms
• On theU-Invariant ofP-Adic Function Fields
• Diophantine Problems Over Local Fields I
• Homogeneous additive equations

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