Question

How special are the polynomials amongst the smooth functions?

score 154 · Answer 1 · 2026-04-11 21:03:33

154

Views

How special are the polynomials amongst the smooth functions?

Published on 11 Apr 2026 - 21:03

score 403 · Answer 2 · 2026-04-12 03:09:21

403

Views

What does it mean to restrict a function germ to a set germ?

Published on 12 Apr 2026 - 3:09

score 240 · Answer 3 · 2026-03-29 21:46:35

240

Views

$\mathscr{O}_{X,a}\cong \mathscr{O}_{\mathbb{A}^n,a}/ I(X)\mathscr{O}_{\mathbb{A}^n,a}$

Published on 29 Mar 2026 - 21:46

score 59 · Answer 4 · 2026-04-04 02:34:17

59

Views

Quotient of Ideals in the Algebra of Function Germs

Published on 04 Apr 2026 - 2:34

score 357 · Answer 5 · 2026-05-03 21:09:49

357

Views

Problem 2.2 in Loring Tu's Introduction to Manifolds

Published on 03 May 2026 - 21:09

score 24 · Answer 6 · 2026-05-03 12:55:45

24

Views

What is a good reference to cite for the definition of forms in terms of germs of functions?

Published on 03 May 2026 - 12:55

score 40 · Answer 7 · 2020-07-01 13:32:05

40

Views

Meaning of "equality of functions as map germs along a curve"

Published on 01 Jul 2020 - 13:32

score 160 · Answer 8 · 2026-04-11 11:53:20

160

Views

Question about the proof of the Malgrange Preparation Theorem

Published on 11 Apr 2026 - 11:53

score 1.2k · Answer 9 · 2026-04-09 20:33:01

1.2k

Views

Is there a relationship between germs and Taylor coefficients?

Published on 09 Apr 2026 - 20:33

score 82 · Answer 10 · 2026-04-13 07:37:54

82

Views

$(z_1,\dotsc,z_n)$ is a prime ideal of $\mathcal{O}_{\mathbb{C}^n,0}$: why?

Published on 13 Apr 2026 - 7:37

score 828 · Answer 11 · 2026-04-14 00:30:35

828

Views

Two functions that have the same germ have the same derivation

Published on 14 Apr 2026 - 0:30

score 44 · Answer 12 · 2026-04-15 11:55:53

44

Views

Question on germs of $C^1$ functions defined on a neighbourhood of $0$ in $\mathbb{R}$

Published on 15 Apr 2026 - 11:55

score 167 · Answer 13 · 2026-04-13 00:22:16

167

Views

Basic Jets and Germs calculations (Catastophe Theory)

Published on 13 Apr 2026 - 0:22

score 45 · Answer 14 · 2026-04-05 18:10:03

45

Views

Geometric notion of modality

Published on 05 Apr 2026 - 18:10

score 19 · Answer 15 · 2026-05-07 01:40:40

19

Views

Is it possible to consistently and naturally define this subset of Hardy field?

Published on 07 May 2026 - 1:40

List Question

How special are the polynomials amongst the smooth functions?

What does it mean to restrict a function germ to a set germ?

$\mathscr{O}_{X,a}\cong \mathscr{O}_{\mathbb{A}^n,a}/ I(X)\mathscr{O}_{\mathbb{A}^n,a}$

Quotient of Ideals in the Algebra of Function Germs

Problem 2.2 in Loring Tu's Introduction to Manifolds

What is a good reference to cite for the definition of forms in terms of germs of functions?

Meaning of "equality of functions as map germs along a curve"

Question about the proof of the Malgrange Preparation Theorem

Is there a relationship between germs and Taylor coefficients?

$(z_1,\dotsc,z_n)$ is a prime ideal of $\mathcal{O}_{\mathbb{C}^n,0}$: why?

Two functions that have the same germ have the same derivation

Question on germs of $C^1$ functions defined on a neighbourhood of $0$ in $\mathbb{R}$

Basic Jets and Germs calculations (Catastophe Theory)

Geometric notion of modality

Is it possible to consistently and naturally define this subset of Hardy field?

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