Question

Motivation behind Primary Decomposition

score 343 · Answer 1 · 2026-03-22 21:00:33

343

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Motivation behind Primary Decomposition

Published on 22 Mar 2026 - 21:00

score 242 · Answer 2 · 2026-03-25 12:15:31

242

Views

Non affine scheme with affine irreducible components.

Published on 25 Mar 2026 - 12:15

score 496 · Answer 3 · 2026-03-24 23:45:05

496

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Computing $h^0(\mathbb{F}_n, \mathcal{O}_{\mathbb{F}_n}(aC_0+bF))$ in a Hirzebruch surface

Published on 24 Mar 2026 - 23:45

score 179 · Answer 4 · 2026-03-30 04:54:52

179

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Finiteness of integral closure.

Published on 30 Mar 2026 - 4:54

score 109 · Answer 5 · 2026-03-25 09:37:20

109

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divisor of inverse image sheaf

Published on 25 Mar 2026 - 9:37

score 167 · Answer 6 · 2018-04-28 00:13:03

167

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Inverse image of closed subset of quasiprojective variety is closed

Published on 28 Apr 2018 - 0:13

score 86 · Answer 7 · 2018-04-28 01:07:40

86

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Zeros of regular functions on quasiprojective variety

Published on 28 Apr 2018 - 1:07

score 161 · Answer 8 · 2018-04-28 07:15:40

161

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relation between dimension of a quasi projective variety and transcendence degree

Published on 28 Apr 2018 - 7:15

score 72 · Answer 9 · 2026-03-25 03:03:18

72

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For $M$ compact Riemann surface, divisors $D_{1}$ and $D_{2}, D_{2}\geq 0$ show that $\dim L(D_{1}+D_{2})\leq \dim L(D_{1})+\deg D_{2}$

Published on 25 Mar 2026 - 3:03

score 593 · Answer 10 · 2026-03-25 06:03:46

593

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We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

Published on 25 Mar 2026 - 6:03

score 1k · Answer 11 · 2018-04-28 16:29:51

1k

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Hartshorne Exercise II. 6.3

Published on 28 Apr 2018 - 16:29

score 568 · Answer 12 · 2018-04-28 17:39:27

568

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Different sets of minimal generators for an ideal of a complete intersection

Published on 28 Apr 2018 - 17:39

score 402 · Answer 13 · 2026-03-27 13:04:11

402

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The degree of (projectively) dual variety

Published on 27 Mar 2026 - 13:04

score 479 · Answer 14 · 2026-03-25 12:17:52

479

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The minimal primes of $\mathscr{O}_{X,p}$ are in canonical bijection with the irreducible components of $X$ passing through $p$.

Published on 25 Mar 2026 - 12:17

score 62 · Answer 15 · 2026-03-25 17:32:06

62

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Find a morphism whose image is included in Segre Embedding image that passes through two points

Published on 25 Mar 2026 - 17:32

List Question

Motivation behind Primary Decomposition

Non affine scheme with affine irreducible components.

Computing $h^0(\mathbb{F}_n, \mathcal{O}_{\mathbb{F}_n}(aC_0+bF))$ in a Hirzebruch surface

Finiteness of integral closure.

divisor of inverse image sheaf

Inverse image of closed subset of quasiprojective variety is closed

Zeros of regular functions on quasiprojective variety

relation between dimension of a quasi projective variety and transcendence degree

For $M$ compact Riemann surface, divisors $D_{1}$ and $D_{2}, D_{2}\geq 0$ show that $\dim L(D_{1}+D_{2})\leq \dim L(D_{1})+\deg D_{2}$

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

Hartshorne Exercise II. 6.3

Different sets of minimal generators for an ideal of a complete intersection

The degree of (projectively) dual variety

The minimal primes of $\mathscr{O}_{X,p}$ are in canonical bijection with the irreducible components of $X$ passing through $p$.

Find a morphism whose image is included in Segre Embedding image that passes through two points

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