In this work we provide a complete and constructive proof of Marinari-Mora’s “Axis of Evil Theorem”. Given a finite set X ⊆ A^n(k) of distinct points and fixed on P := k[x1 , ..., xn ] the lexi- cographical order, the theorem states that one can produce a “linear” factorization for a minimal Groebner basis of the ideal I(X) of P, via interpolation and a combinatorial algorithm. We display here the related algorithm showing its termination and correctness.
A proof of the "Axis of Evil Theorem" for distinct points / Ceria, Michela. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - 2014:(2014), pp. ---.
A proof of the "Axis of Evil Theorem" for distinct points.
Ceria, Michela
2014-01-01
Abstract
In this work we provide a complete and constructive proof of Marinari-Mora’s “Axis of Evil Theorem”. Given a finite set X ⊆ A^n(k) of distinct points and fixed on P := k[x1 , ..., xn ] the lexi- cographical order, the theorem states that one can produce a “linear” factorization for a minimal Groebner basis of the ideal I(X) of P, via interpolation and a combinatorial algorithm. We display here the related algorithm showing its termination and correctness.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
