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Splitting theorems for quadratic ring extensions

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Publication:1165905
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zbMath0488.13007MaRDI QIDQ1165905

J. E. McLaughlin, Melvin Hochster

Publication date: 1983

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

S3ring of invariantsgroup cohomologysplittingSerre conditionscomplete local factorial hypersurfacelocally factorial Noetherian domainquadratic ring extensionsR2supernormal domain


Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Commutative Noetherian rings and modules (13E05) Surfaces and higher-dimensional varieties (14J99) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Extension theory of commutative rings (13B02)


Related Items

Degree \(p\) extensions of an unramified regular local ring of mixed characteristic \(p\), Openness of the F-rational locus and smooth base change, Annihilators of Koszul homologies and almost complete intersections, Conductors in mixed characteristic, Canonical elements in local cohomology modules and the direct summand conjecture



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