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Longer titles found: Associated graded ring (view)

searching for Graded ring 34 found (130 total)

Socle (mathematics) (772 words) [view diff] no match in snippet view article

In mathematics, the term socle has several related meanings. In the context of group theory, the socle of a group G, denoted soc(G), is the subgroup generated

Canonical ring (464 words) [view diff] exact match in snippet view article find links to article

algebraic variety V (which is nonsingular), or of a complex manifold, is the graded ring R ( V , K ) = R ( V , K V ) {\displaystyle R(V,K)=R(V,K_{V})\,} of sections

Noncommutative projective geometry (227 words) [view diff] exact match in snippet view article find links to article

x_{n}\rangle /(x_{i}x_{j}-q_{ij}x_{j}x_{i})} By definition, the Proj of a graded ring R is the quotient category of the category of finitely generated graded

Regular sequence (1,229 words) [view diff] exact match in snippet view article find links to article

local ring and the elements ri are in the maximal ideal, or if R is a graded ring and the ri are homogeneous of positive degree, then any permutation of

Atiyah–Hirzebruch spectral sequence (1,971 words) [view diff] exact match in snippet view article find links to article

) {\displaystyle H^{p}(B;E^{q}(F))} and converging to the associated graded ring of the filtered ring E ∞ p , q ⇒ E p + q ( X ) {\displaystyle E_{\infty

Landweber exact functor theorem (1,392 words) [view diff] exact match in snippet view article find links to article

degree − 2 {\displaystyle -2} ) over a graded ring R ∗ {\displaystyle R_{*}} is equivalent to giving a graded ring morphism L ∗ → R ∗ {\displaystyle L_{*}\to

Ternary quartic (385 words) [view diff] exact match in snippet view article find links to article

ISBN 978-1-4181-8252-6, MR 0115124 Shioda, Tetsuji (1967), "On the graded ring of invariants of binary octavics", American Journal of Mathematics, 89

Igusa group (173 words) [view diff] exact match in snippet view article find links to article

congruent to the identity modulo n. Igusa, Jun-ichi (1964), "On the graded ring of theta-constants", Amer. J. Math., 86: 219–246, doi:10.2307/2373041

Noncommutative geometry (2,384 words) [view diff] exact match in snippet view article find links to article

are also generalizations of the Cone and of the Proj of a commutative graded ring, mimicking a theorem of Serre on Proj. Namely the category of quasicoherent

Multiplicity theory (396 words) [view diff] exact match in snippet view article find links to article

are intimately connected to multiplicity theory. Let R be a positively graded ring such that R is finitely generated as an R0-algebra and R0 is Artinian

Epigroup (650 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-24241-3. A. V. Kelarev, Applications of epigroups to graded ring theory, Semigroup Forum, Volume 50, Number 1 (1995), 327–350 doi:10.1007/BF02573530

K3 surface (5,241 words) [view diff] case mismatch in snippet view article find links to article

5. Scorpan (2005), section 5.3. Huybrechts (2016), Remark 1.3.6(ii). Graded Ring Database; K3 database for Magma. Barth et al. (2004), Theorem 6.1. Huybrechts

Toda bracket (1,141 words) [view diff] exact match in snippet view article find links to article

_{k}^{S}} of the stable homotopy groups of spheres is a supercommutative graded ring, where multiplication (called composition product) is given by composition

Koszul duality (1,258 words) [view diff] exact match in snippet view article find links to article

algebra is again a Koszul algebra. Its opposite ring is given by the graded ring of self-extensions of the underlying field k, thought of as an A-module:

Quantum cohomology (1,800 words) [view diff] exact match in snippet view article find links to article

choosing any almost complex structure compatible with ω. Thus Λ is a graded ring, called the Novikov ring for ω. (Alternative definitions are common.)

Kodaira dimension (2,398 words) [view diff] exact match in snippet view article find links to article

the d-canonical map. The canonical ring R(KX) of a variety X is the graded ring R ( K X ) := ⨁ d ≥ 0 H 0 ( X , K X d ) . {\displaystyle R(K_{X}):=\bigoplus

Gordan's lemma (1,251 words) [view diff] exact match in snippet view article find links to article

finitely generated then. Lemma: Let A be a Z {\displaystyle \mathbb {Z} } -graded ring. If A is a Noetherian ring, then A + = ⊕ 0 ∞ A n {\displaystyle A^{+}=\oplus

Judith D. Sally (674 words) [view diff] exact match in snippet view article find links to article

ISBN 0-8247-6645-8. MR 0485852. Sally, Judith D. (1977). "On the associated graded ring of a local Cohen-Macaulay ring". J. Math. Kyoto Univ. 17 (1): 19–21.

Frobenius theorem (differential topology) (4,231 words) [view diff] exact match in snippet view article

tangent bundle TM; and the other which operates with subbundles of the graded ring Ω(M) of all forms on M. These two forms are related by duality. If D

Algebraic geometry (7,405 words) [view diff] exact match in snippet view article find links to article

the projective coordinates ring being defined as the quotient of the graded ring or the polynomials in n + 1 variables by the homogeneous (reduced) ideal

Formal group law (3,592 words) [view diff] exact match in snippet view article find links to article

the coefficient ring of complex cobordism is naturally isomorphic as a graded ring to Lazard's universal ring, explaining the unusual grading. A formal

Injective module (3,919 words) [view diff] exact match in snippet view article find links to article

{\displaystyle R/{\mathfrak {p}}^{k}} . In particular, for the standard graded ring R ∙ = k [ x 1 , … , x n ] ∙ {\displaystyle R_{\bullet }=k[x_{1},\ldots

Derived scheme (2,280 words) [view diff] exact match in snippet view article find links to article

{\displaystyle (M,{\mathcal {A}}^{\bullet },Q)} where the underlying graded ring are the polyvector fields A − i = ∧ i T M {\displaystyle {\mathcal {A}}^{-i}=\wedge

Invariant of a binary form (2,352 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-04139-9, MR 0229674 Shioda, Tetsuji (1967), "On the graded ring of invariants of binary octavics", American Journal of Mathematics, 89

Adams spectral sequence (3,283 words) [view diff] exact match in snippet view article find links to article

H^{*}(X)} is more than just a graded abelian group, and more still than a graded ring (via the cup product). The representability of the cohomology functor

Stack (mathematics) (5,111 words) [view diff] exact match in snippet view article

generalizing the construction of the projective scheme Proj(A) of a graded ring A. Mumford (1965) studied the moduli stack M1,1 of elliptic curves, and

Dieudonné module (1,545 words) [view diff] exact match in snippet view article find links to article

{\displaystyle wV=Vw^{\sigma }} . It is a Z {\displaystyle \mathbb {Z} } -graded ring, where the piece of degree n ∈ Z {\displaystyle {n\in \mathbb {Z} }}

Kähler differential (4,378 words) [view diff] exact match in snippet view article find links to article

singular case can be found with non-Du Bois singularities such as the graded ring k [ x , y ] / ( y 2 − x 3 ) {\displaystyle k[x,y]/(y^{2}-x^{3})} with

Jane Purcell Coffee (529 words) [view diff] case mismatch in snippet view article find links to article

A Condition for a Filtered Ring to be Isomorphic to its Associated Graded Ring, supervised by Murray Gerstenhaber. In order to avoid hiring discrimination

Glossary of module theory (2,610 words) [view diff] exact match in snippet view article find links to article

global global dimension graded A module M {\displaystyle M} over a graded ring A = ⨁ n ∈ N A n {\displaystyle A=\bigoplus _{n\in \mathbb {N} }A_{n}}

Special classes of semigroups (428 words) [view diff] exact match in snippet view article find links to article

Thiruvananthapuram, India, 1986 [Kela] A. V. Kelarev, Applications of epigroups to graded ring theory, Semigroup Forum, Volume 50, Number 1 (1995), 327-350 doi:10.1007/BF02573530

Ample line bundle (6,640 words) [view diff] exact match in snippet view article find links to article

\bigoplus _{n\geq 0}{\mathcal {L}}^{\otimes n}} and endomorphisms of the graded ring S. The identity endomorphism of S corresponds to a homomorphism ε {\displaystyle

Steenrod algebra (5,578 words) [view diff] exact match in snippet view article find links to article

smooth manifolds up to cobordism, through the identification of the graded ring of bordism classes with the homotopy groups of Thom complexes, in a stable

Glossary of algebraic geometry (12,488 words) [view diff] exact match in snippet view article find links to article

ring or the ring of sections of a line bundle L on a scheme X is the graded ring ⊕ 0 ∞ Γ ( X , L n ) {\displaystyle \oplus _{0}^{\infty }\Gamma (X,L^{n})}