Question

How special are the polynomials amongst the smooth functions?

score 151 · Answer 1 · 2014-11-01 18:33:30

151

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How special are the polynomials amongst the smooth functions?

Published on 01 Nov 2014 - 18:33

score 400 · Answer 2 · 2014-11-25 18:52:05

400

Views

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

Published on 25 Nov 2014 - 18:52

score 238 · Answer 3 · 2019-11-04 00:57:56

238

Views

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

Published on 04 Nov 2019 - 0:57

score 58 · Answer 4 · 2020-02-18 22:14:36

58

Views

Quotient of Ideals in the Algebra of Function Germs

Published on 18 Feb 2020 - 22:14

score 351 · Answer 5 · 2026-03-24 02:12:25

351

Views

Problem 2.2 in Loring Tu's Introduction to Manifolds

Published on 24 Mar 2026 - 2:12

score 22 · Answer 6 · 2020-05-05 18:02:37

22

Views

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

Published on 05 May 2020 - 18:02

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 157 · Answer 8 · 2026-02-23 02:47:19

157

Views

Question about the proof of the Malgrange Preparation Theorem

Published on 23 Feb 2026 - 2:47

score 1.1k · Answer 9 · 2016-11-01 20:23:41

1.1k

Views

Is there a relationship between germs and Taylor coefficients?

Published on 01 Nov 2016 - 20:23

score 79 · Answer 10 · 2017-02-09 21:58:54

79

Views

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

Published on 09 Feb 2017 - 21:58

score 825 · Answer 11 · 2017-02-15 13:29:44

825

Views

Two functions that have the same germ have the same derivation

Published on 15 Feb 2017 - 13:29

score 41 · Answer 12 · 2017-03-16 19:39:43

41

Views

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

Published on 16 Mar 2017 - 19:39

score 164 · Answer 13 · 2017-04-06 19:56:52

164

Views

Basic Jets and Germs calculations (Catastophe Theory)

Published on 06 Apr 2017 - 19:56

score 43 · Answer 14 · 2026-03-21 23:11:27

43

Views

Geometric notion of modality

Published on 21 Mar 2026 - 23:11

score 12 · Answer 15 · 2026-03-17 10:26:27

12

Views

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

Published on 17 Mar 2026 - 10:26

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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