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  • 0 posts edited
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  • 20 votes cast
Jun
24
comment Action of differential on multivectors, what is it called?
As far as I understand, this is a generalization of the notion of Jacobian determinant of $\varphi$ in $a$. Does this generalization have a name? en.wikipedia.org/wiki/Jacobian_matrix_and_determinant
Jun
24
asked Action of differential on multivectors, what is it called?
Jun
20
accepted Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
Jun
20
comment Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
Ah, OK! Yes, thank you!
Jun
20
comment Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
Eric, I don't understand the details. Let $n=3$. You suggest to replace $(a_1,a_2,a_3)$ by $(a_1+ra_2,a_2,a_3)$. OK, after that the first two vectors become orthogonal, let us denote them $(b_1,b_2,b_3)$. But what we do next? If we replace $(b_1,b_2,b_3)$ by $(b_1,b_2+rb_3,b_3)$, then the first two vectors can again become non-orthogonal. There must be further tricks?
Jun
20
revised Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
added 172 characters in body
Jun
19
comment Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
Hagen, I don't understand. A priori, $V_n$ is not the Jordan measure. What do you mean by estimating?
Jun
19
revised Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
added 15 characters in body
Jun
19
asked Axiomatic explanation of why the volume of a parallelepiped is equal to the area of its base times its height
Jun
9
comment Simple points of an algebraic variety from an analytic point of view
Georges, I eventually posted this paper in arxiv: arxiv.org/abs/1303.2424v4 I thanked you and other people (on page 7). What we discussed here is mentioned there on pages 27-28. Thank you! :)
Jun
4
revised Analogs of the paralleloram identity in higher degrees
added 2 characters in body
May
30
comment Simple points of an algebraic variety from an analytic point of view
Merci! Georges, if this does not frighten you, I'll add you to the list of acknowlegements: you'll be there together with E.B.Vinberg, V.L.Popov, and P.I.Katsylo (i.e. with those who treat questions like this as idiotic). :)
May
30
accepted Simple points of an algebraic variety from an analytic point of view
May
30
comment Simple points of an algebraic variety from an analytic point of view
Great!!!!!!!!!!!! Thank you, Georges!!!!!!!!
May
30
comment Simple points of an algebraic variety from an analytic point of view
Georges, je dois traduire cet article, mais j'ai decouvert cet obstacle dedant. J'ai passé beaucoup de temps pour comprendre ça, mais sans success. Je pense que c'est la "différence culturelle" entre les matematiciens: mes "amis algébriques" ne comprendent pas mon probléme, et moi, je ne comprens pas pourquoi il n'est pas clair pour eux. Pourriez-vous m'aider? Il serais suffisant pour moi si la première condition implique (impliquerait?) la troisième. Est-ce que c'est vrai?
May
30
comment Simple points of an algebraic variety from an analytic point of view
En fait, le français est difficile aussi (pour les étrangers). On ne peut jamais être sûr que ce qu'on dit est correct. :)
May
30
comment Simple points of an algebraic variety from an analytic point of view
Как много на свете культурных, интеллигентных людей! :) Excusez-moi, je n'ai pas compris: math.unice.fr/laboratoire/fiche&id=201, - cela veut dire que vous parlez français? :)
May
30
comment Simple points of an algebraic variety from an analytic point of view
And does the first condition at least imply the second and the third?
May
30
comment Simple points of an algebraic variety from an analytic point of view
Georges, if we remove the second condition, will the remaining ones (the first and the third) be equivalent?
May
30
comment Simple points of an algebraic variety from an analytic point of view
@GeorgesElencwajg: I am translating now one of my papers into English, you can look (but it is still in Russian): arxiv.org/abs/1303.2424 . You can also take a look at my earlier papers, which are already translated: arxiv.org/abs/0806.3205