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15
388
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On the definition of degree of closed subschemes

Published on
#algebraic-geometry #projective-space #hilbert-polynomial
617
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How to compute this Hilbert polynomial?

Published on
#algebraic-geometry #hilbert-polynomial
88
Views

Demystify the Hilbert Function

Published on
#algebraic-geometry #commutative-algebra #hilbert-polynomial
331
Views

Hilbert polynomial: two definitions

Published on
#algebraic-geometry #hilbert-polynomial
127
Views

On a special kind of local Gorenstein ring of dimension $2$

Published on
#commutative-algebra #homological-algebra #cohen-macaulay #hilbert-polynomial #regular-rings
61
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Writing down the graded pieces of $k[x_1,...,x_n]/(x_1^2,...,x_n^2) $ in terms of the irrelevant maximal ideal

Published on
#commutative-algebra #quadratic-forms #graded-rings #graded-modules #hilbert-polynomial
536
Views

Hilbert-Samuel multiplicity of a local ring of positive dimension is positive?

Published on
#algebraic-geometry #commutative-algebra #dimension-theory-algebra #hilbert-polynomial
160
Views

On the $k$-vector space dimension of graded pieces of an Artinian $k$-algebra $k[x,y]/J$

Published on
#algebraic-geometry #commutative-algebra #graded-rings #hilbert-polynomial #graded-algebras
189
Views

On the intersection of integral closures of all powers of maximal ideal

Published on
#algebraic-geometry #commutative-algebra #cohen-macaulay #integral-extensions #hilbert-polynomial
94
Views

Algebraic characterization (or sufficient condition) when a (graded) local hypersurface has rational singularity

Published on
#algebraic-geometry #commutative-algebra #birational-geometry #hilbert-polynomial #gorenstein
113
Views

Hilbert polynomial of algebraic variety with 4 generators

Published on
#algebraic-geometry #hilbert-polynomial
104
Views

Dimension in Hilbert function definition. And "for large s" statement confusion in Eisenbud commutative algebra

Published on
#commutative-algebra #graded-modules #hilbert-polynomial
163
Views

Hilbert-Samuel multiplicity of standard graded $k$-algebra which is an integral domain and $k$ is algebraically closed

Published on
#commutative-algebra #cohen-macaulay #projective-varieties #hilbert-polynomial #graded-algebras
167
Views

Grassmannian as Hilbert scheme.

Published on
#algebraic-geometry #grassmannian #hilbert-polynomial
63
Views

Hilbert series of agebraically independents polynomial - problem with a proof

Published on
#abstract-algebra #polynomials #ring-theory #solution-verification #hilbert-polynomial

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