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Manos
  • Member for 10 years, 11 months
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0 votes

Hartshorne Corollary III.9.4

0 votes

Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?

2 votes

What is a simple definition of the pullback of a section?

7 votes
Accepted

Hartshorne Ex. II 1.16 b) Flasque sheaves and exact sequences

2 votes

exact sequence of ideal sheaves (Hartshorne Theorem III.3.7)

6 votes

Hartshorne Lemma II.5.3 Proof

3 votes
Accepted

Find the associated primes of $(x_0) \cdot (x_0, x_1) \cdot \dots \cdot (x_0, \dots, x_r)$ in $k[x_0, \dots x_r]$

3 votes

Proposition II.$3.2$ in Hartshorne

5 votes
Accepted

Nilradical of a graded ring

1 vote
Accepted

map of tangent spaces surjective on an open set

1 vote
Accepted

Height of Product of Ideals

3 votes
Accepted

Vector Space as Ideal modulo Ideal?

4 votes
Accepted

Hilbert polynomial for a dimension zero projective variety by taking an affine chart

1 vote
Accepted

Exact sequence of graded modules and localization

3 votes
Accepted

General procedure to prove something is a tensor product of modules

3 votes
Accepted

localized at associated prime of an ideal

2 votes
Accepted

Exercise $2$ from chapter $5$ of Eisenbud's Geometry of Syzygies book

1 vote

Motivation for rings of fractions?

1 vote

using smoothness to deduce reducedness

2 votes
Accepted

the ideal generated by general polynomials is radical

2 votes

the affine scheme of an integral ring is integral

1 vote

Spectrum of a ring is irreducible if and only if nilradical is prime (Atiyah-Macdonald, Exercise 1.19)

20 votes

Structure of ideals in the product of two rings

3 votes

Representing localization as a direct limit

6 votes

Hartshorne's Exercise II. 2.15 (fully faithful functor)

1 vote
Accepted

Homogeneous coordinate rings of product of two projective varieties

1 vote

Ideal of affine algebraic variety is radical

3 votes

Is a zero-dimensional algebra over a field a finite-dimensional vector space?

8 votes

Irreducible homogeneous polynomials of arbitrary degree

1 vote
Accepted

Quotient of a polynomial ring and leading terms

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