A normal form and schemes of quadratic forms

DOI10.1007/s10958-008-9078-3zbMath1180.11011OpenAlexW2069724166MaRDI QIDQ950913

B. E. Eshmatov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9078-3

zbMATH Keywords

local principal ideal ringnormal diagonal form for quadratic formsprojective congruence quadricsprojective planes over rings with nonprincipal maximal idealquadratic form schemes

Mathematics Subject Classification ID

Quadratic forms over local rings and fields (11E08)

Related Items (5)

Congruence of symmetric matrices over local rings ⋮ Unnamed Item ⋮ Quadratic forms and quadrics of space over local rings ⋮ Enumeration of quadrics of projective spaces over local rings ⋮ Hermitian and skew Hermitian forms over local rings

Cites Work

• Remarks on the representability of groups by matrices
• Quadratic forms over semilocal rings
• Counting Witt rings
• A stable range for quadratic forms over commutative rings
• Symbol lengths in Milnor \(K\)-theory
• A note on the fundamental theorem of projective geometry
• The norm theorem for quadratic forms over a field of characteristic 2
• Quadratic forms of projective spaces over rings
• On the number of square classes of a field of finite level
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