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Complementi di sottospazi e singolarità coniche

Claudio Procesi — 1996

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Discuterò una costruzione geometrica, fatta insieme a De Concini, di una modificazione di una configurazione di sottospazi che trasforma i sottospazi in un divisore a incroci normali. Inoltre nel caso di iperpiani questa costruzione è legata alla generalizzazione della equazione di Kniznik-Zamolodchikov ed alla teoria dei nodi, per i sistemi di radici produce dei modelli particolarmente interessati.

Graded morphisms of G -modules

Hanspeter KraftClaudio Procesi — 1987

Annales de l'institut Fourier

Let A be finite dimensional C -algebra which is a complete intersection, i.e. A = C [ X 1 , ... , X n ] / ( f 1 , ... , f n ) whith a regular sequences f 1 , ... , f n . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra A is solvable. We prove this in case A is in addition graded and generated by elements of degree 1.

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