Translation of 'morphisme net'?English translation or summary of “Relevements modulo $p^2$ et decomposition du complexe de de Rham. ”Translation Request - Grothendieck's Tohoku PaperWhat is the gender of $K(pi,n)$ in French?Die Relationen, welche zwischen den elementaren symmetrischen Functionen bestehen - Translation?Mathematics in FrenchSlice and comma categories in FrenchGerman translation of final sentences of a paper by HilbertName for a matrix similar to a companion matrix? Translating “Monogène” matrix from FrenchCombinatorics: terminology for permutations and combinationsWhere can I learn how to read math in French?

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Translation of 'morphisme net'?


English translation or summary of “Relevements modulo $p^2$ et decomposition du complexe de de Rham. ”Translation Request - Grothendieck's Tohoku PaperWhat is the gender of $K(pi,n)$ in French?Die Relationen, welche zwischen den elementaren symmetrischen Functionen bestehen - Translation?Mathematics in FrenchSlice and comma categories in FrenchGerman translation of final sentences of a paper by HilbertName for a matrix similar to a companion matrix? Translating “Monogène” matrix from FrenchCombinatorics: terminology for permutations and combinationsWhere can I learn how to read math in French?













2












$begingroup$


In French, one refers to a certain 'morphisme net'. I am looking for the English translation of this.



EDIT: The term appears here on p.22 Lemme 2.7.2. Unfortunately I have not been able to find the French definition either.



Thanks!










share|cite|improve this question











$endgroup$











  • $begingroup$
    Where did you encounter the term? It would help us to know what contexts it is used in.
    $endgroup$
    – Milo Brandt
    Aug 18 '15 at 15:54










  • $begingroup$
    It would be good if you could give the definition (in translation).
    $endgroup$
    – Zhen Lin
    Aug 18 '15 at 15:55










  • $begingroup$
    A guess: Perhaps they mean a net of morphisms in some category?
    $endgroup$
    – Alex G.
    Aug 18 '15 at 15:57






  • 1




    $begingroup$
    I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
    $endgroup$
    – TA Wong
    Aug 18 '15 at 16:02











  • $begingroup$
    It reminds me of exact sequences.
    $endgroup$
    – pjs36
    Aug 18 '15 at 16:09















2












$begingroup$


In French, one refers to a certain 'morphisme net'. I am looking for the English translation of this.



EDIT: The term appears here on p.22 Lemme 2.7.2. Unfortunately I have not been able to find the French definition either.



Thanks!










share|cite|improve this question











$endgroup$











  • $begingroup$
    Where did you encounter the term? It would help us to know what contexts it is used in.
    $endgroup$
    – Milo Brandt
    Aug 18 '15 at 15:54










  • $begingroup$
    It would be good if you could give the definition (in translation).
    $endgroup$
    – Zhen Lin
    Aug 18 '15 at 15:55










  • $begingroup$
    A guess: Perhaps they mean a net of morphisms in some category?
    $endgroup$
    – Alex G.
    Aug 18 '15 at 15:57






  • 1




    $begingroup$
    I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
    $endgroup$
    – TA Wong
    Aug 18 '15 at 16:02











  • $begingroup$
    It reminds me of exact sequences.
    $endgroup$
    – pjs36
    Aug 18 '15 at 16:09













2












2








2





$begingroup$


In French, one refers to a certain 'morphisme net'. I am looking for the English translation of this.



EDIT: The term appears here on p.22 Lemme 2.7.2. Unfortunately I have not been able to find the French definition either.



Thanks!










share|cite|improve this question











$endgroup$




In French, one refers to a certain 'morphisme net'. I am looking for the English translation of this.



EDIT: The term appears here on p.22 Lemme 2.7.2. Unfortunately I have not been able to find the French definition either.



Thanks!







algebraic-geometry translation-request mathematical-french






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Rodrigo de Azevedo

13k41960




13k41960










asked Aug 18 '15 at 15:52









TA WongTA Wong

385112




385112











  • $begingroup$
    Where did you encounter the term? It would help us to know what contexts it is used in.
    $endgroup$
    – Milo Brandt
    Aug 18 '15 at 15:54










  • $begingroup$
    It would be good if you could give the definition (in translation).
    $endgroup$
    – Zhen Lin
    Aug 18 '15 at 15:55










  • $begingroup$
    A guess: Perhaps they mean a net of morphisms in some category?
    $endgroup$
    – Alex G.
    Aug 18 '15 at 15:57






  • 1




    $begingroup$
    I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
    $endgroup$
    – TA Wong
    Aug 18 '15 at 16:02











  • $begingroup$
    It reminds me of exact sequences.
    $endgroup$
    – pjs36
    Aug 18 '15 at 16:09
















  • $begingroup$
    Where did you encounter the term? It would help us to know what contexts it is used in.
    $endgroup$
    – Milo Brandt
    Aug 18 '15 at 15:54










  • $begingroup$
    It would be good if you could give the definition (in translation).
    $endgroup$
    – Zhen Lin
    Aug 18 '15 at 15:55










  • $begingroup$
    A guess: Perhaps they mean a net of morphisms in some category?
    $endgroup$
    – Alex G.
    Aug 18 '15 at 15:57






  • 1




    $begingroup$
    I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
    $endgroup$
    – TA Wong
    Aug 18 '15 at 16:02











  • $begingroup$
    It reminds me of exact sequences.
    $endgroup$
    – pjs36
    Aug 18 '15 at 16:09















$begingroup$
Where did you encounter the term? It would help us to know what contexts it is used in.
$endgroup$
– Milo Brandt
Aug 18 '15 at 15:54




$begingroup$
Where did you encounter the term? It would help us to know what contexts it is used in.
$endgroup$
– Milo Brandt
Aug 18 '15 at 15:54












$begingroup$
It would be good if you could give the definition (in translation).
$endgroup$
– Zhen Lin
Aug 18 '15 at 15:55




$begingroup$
It would be good if you could give the definition (in translation).
$endgroup$
– Zhen Lin
Aug 18 '15 at 15:55












$begingroup$
A guess: Perhaps they mean a net of morphisms in some category?
$endgroup$
– Alex G.
Aug 18 '15 at 15:57




$begingroup$
A guess: Perhaps they mean a net of morphisms in some category?
$endgroup$
– Alex G.
Aug 18 '15 at 15:57




1




1




$begingroup$
I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
$endgroup$
– TA Wong
Aug 18 '15 at 16:02





$begingroup$
I've added a link to the paper I am looking at; I don't think it is a net of morphisms.
$endgroup$
– TA Wong
Aug 18 '15 at 16:02













$begingroup$
It reminds me of exact sequences.
$endgroup$
– pjs36
Aug 18 '15 at 16:09




$begingroup$
It reminds me of exact sequences.
$endgroup$
– pjs36
Aug 18 '15 at 16:09










1 Answer
1






active

oldest

votes


















6












$begingroup$

In [SGA 1, Exposé I, Dfn 3.2], "morphisme net" or "morphisme non ramifié" refers to a morphism $X to Y$ of finite type such that the relative diagonal $X to X times_Y X$ is an open immersion. This is called an unramified morphism in English, although sometimes one generalises to morphisms locally of finite type.






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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    6












    $begingroup$

    In [SGA 1, Exposé I, Dfn 3.2], "morphisme net" or "morphisme non ramifié" refers to a morphism $X to Y$ of finite type such that the relative diagonal $X to X times_Y X$ is an open immersion. This is called an unramified morphism in English, although sometimes one generalises to morphisms locally of finite type.






    share|cite|improve this answer









    $endgroup$

















      6












      $begingroup$

      In [SGA 1, Exposé I, Dfn 3.2], "morphisme net" or "morphisme non ramifié" refers to a morphism $X to Y$ of finite type such that the relative diagonal $X to X times_Y X$ is an open immersion. This is called an unramified morphism in English, although sometimes one generalises to morphisms locally of finite type.






      share|cite|improve this answer









      $endgroup$















        6












        6








        6





        $begingroup$

        In [SGA 1, Exposé I, Dfn 3.2], "morphisme net" or "morphisme non ramifié" refers to a morphism $X to Y$ of finite type such that the relative diagonal $X to X times_Y X$ is an open immersion. This is called an unramified morphism in English, although sometimes one generalises to morphisms locally of finite type.






        share|cite|improve this answer









        $endgroup$



        In [SGA 1, Exposé I, Dfn 3.2], "morphisme net" or "morphisme non ramifié" refers to a morphism $X to Y$ of finite type such that the relative diagonal $X to X times_Y X$ is an open immersion. This is called an unramified morphism in English, although sometimes one generalises to morphisms locally of finite type.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Aug 18 '15 at 16:09









        Zhen LinZhen Lin

        60.7k4110227




        60.7k4110227



























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