Geodesic
The Aluffi algebra
Journal of Singularities, Tome 3 (2011), pp. 20-47

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We deal with the quasi-symmetric algebra introduced by Paolo Aluffi, here named the (embedded) Aluffi algebra. This algebra is a sort of "intermediate" algebra between the symmetric algebra and the Rees algebra of an ideal, which serves the purpose of introducing the characteristic cycle of a hypersurface in intersection theory. The results described in the present paper have an algebraic flavor and naturally connect with various themes of commutative algebra, such as standard bases à la Hironaka, Artin--Rees like questions, Valabrega--Valla ideals, ideals of linear type, relation type and analytic spread.
DOI : 10.5427/jsing.2011.3c
Classification : 13A30, 14B05, 14D06, 14H10, 13B25, 13C15, 13D02, 13F45, 13P10, 14H50 
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     author = {Abbas Nasrollah Nejad and Aron Simis},
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Abbas Nasrollah Nejad; Aron Simis. The Aluffi algebra. Journal of Singularities, Tome 3 (2011), pp. 20-47. doi: 10.5427/jsing.2011.3c

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