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varietate cu o singularitate izolata dubla

 
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Dragos Fratila
Newton


Joined: 04 Oct 2007
Posts: 335
Location: Paris

PostPosted: Sat Feb 20, 2010 8:23 pm    Post subject: varietate cu o singularitate izolata dubla Reply with quote

Fie X o varietate algebrica peste un corp k, cu o singura singularitate izolata dubla in punctul x (i.e. \mathcal{\hat O_{\mathrm X, x}} \simeq k[[X_1,...,X_n]]/(X_1^2+X_2^2+...+X_n^2)).
Demonstrati ca blow-up-ul lui X in x este o varietate nesingulara.
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