In algebraic geometry, a Gorenstein scheme is a locally Noetherian scheme whose local rings are all Gorenstein.[1] The canonical line bundle is defined for any Gorenstein scheme over a field, and its properties are much the same as in the special case of smooth schemes.
^Kollár (2013), section 2.5; Stacks Project, Tag 0AWV.
the concept of Gorenstein rings. Frobenius rings are noncommutative analogs of zero-dimensional Gorenstein rings. Gorensteinschemes are the geometric...
{O}}_{X})^{G}={\mathcal {O}}_{Y}.} Gorenstein 1. A Gorensteinscheme is a locally Noetherian scheme whose local rings are Gorenstein rings. 2. A normal variety...
construct the dualizing sheaf on X. coherent duality reflexive sheaf Gorenstein ring Dualizing module Hartshorne 1977, Ch. III, § 7. Kollár & Mori 1998...
particular Cohen-Macaulay, normal and Du Bois. They need not be Gorenstein or even Q-Gorenstein. Log terminal singularities are rational. An example of a rational...
Krull dimension Regular local ring Regular sequence Cohen–Macaulay ring Gorenstein ring Koszul complex Spectrum of a ring Zariski topology Kähler differential...
is Z/2Z. The surface is a quotient of a reduced singular Gorenstein surface by the group scheme μ2. Singular: dim(H1(O)) = 1 and is acted on non-trivially...
written by about 100 authors, published mostly between 1955 and 2004. Gorenstein (d.1992), Lyons, and Solomon are gradually publishing a simplified and...
(2nd ed.). Dover. ISBN 978-0-486-47187-7. Discrete valuation ring Semi-local ring Valuation ring Gorenstein local ring The philosophy behind local rings...
calculus over commutative algebras, Banach–Stone theorem Local rings: Gorenstein local ring (also used in Wiles's proof of Fermat's Last Theorem): Duality...
R} of dimension d {\displaystyle d} that is a homomorphic image of a Gorenstein local ring (for example, if R {\displaystyle R} is complete), it states...
from the original on November 17, 2014. Retrieved March 6, 2014. Peter Gorenstein (March 28, 2011). "Peter Schiff: The US Should Abolish Corporate And Personal...
Fischer H. Fitting G. Frattini G. Frobenius E. Galois G. Glauberman D. Gorenstein R.L. Griess M. Hall, Jr. P. Hall G. Higman D. Hilbert O. Hölder B. Huppert...
involved showing that the isospectral Hilbert scheme of n points in a plane was Cohen–Macaulay (and even Gorenstein). Earlier results of Haiman and Garsia had...
about this problem after reading an article about the classification by Gorenstein (1979), who suggested that someone from outside group theory might be...
theory Formally smooth map Fundamental groupoid Fundamental group schemeGorenstein ring – Local ring in commutative algebra Grothendieck's Tôhoku paper –...
affiliated with home decor and construction. Marine artist Hilda Goldblatt Gorenstein painted twelve murals for the Navy's exhibit in the Federal Building for...
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