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Degree of the image of Veronese embedding

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#geometry #algebraic-geometry #commutative-algebra #hilbert-polynomial
267
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Understanding some details in calculating the Hilbert function and polynomial.

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#abstract-algebra #combinatorics #algebraic-geometry #commutative-algebra #hilbert-polynomial
173
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The Hilbert function and polynomial of $S = k[x_1, x_2, x_3, x_4]$ and $I = (x_1x_3, x_1x_4, x_2x_4)$ step clarification.

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#abstract-algebra #algebraic-geometry #commutative-algebra #monomial-ideals #hilbert-polynomial
180
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Calculating the Hilbert Function of a Complete Intersection

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#algebraic-geometry #commutative-algebra #hilbert-polynomial
72
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Construction of Hilbert Variety (in Harris' Algebraic Geometry)

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#algebraic-geometry #polynomials #commutative-algebra #moduli-space #hilbert-polynomial
210
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Intersection degree of noncomplete intersection

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#algebraic-geometry #intersection-theory #hilbert-polynomial
80
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What are the closed subschemes of $\mathbb P^2_R$ for a ring $R$? In particular, what are the closed subschemes of $\mathbb P^2_k$ for a field $k$?

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#algebraic-geometry #schemes #hilbert-polynomial
456
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Computation of a Hilbert Samuel function

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#abstract-algebra #ring-theory #commutative-algebra #modules #hilbert-polynomial
73
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Constructing a Hyperelliptic Curve with given characteristic polynomial

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#elliptic-curves #hilbert-polynomial #complex-multiplication
84
Views

Degree of Hilbert polynomial

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#algebraic-geometry #projective-schemes #hilbert-polynomial
103
Views

Complete local Cohen-Macaulay ring of dimension $1$ whose type equals $1$ less than embedding dimension

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#commutative-algebra #homological-algebra #cohen-macaulay #hilbert-polynomial #gorenstein
80
Views

Trying to understand the definition of Hilbert functions

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#commutative-algebra #proof-explanation #hilbert-polynomial
150
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Trying to understand / apply the Hilbert–Serre theorem in a specific situation?

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#commutative-algebra #prime-numbers #power-series #hilbert-polynomial
153
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Why is the subscheme fixed if I fix the Hilbert Polynomial?

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#algebraic-geometry #projective-space #hilbert-polynomial
192
Views

Hilbert series of tensor product of quotient ring by squarefree monomial ideals

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#reference-request #commutative-algebra #tensor-products #hilbert-polynomial

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