In this chapter we turn our attention to double points in (Formula Presented), that is, sets of fat points where every point has multiplicity two. Using our classification of ACM sets of fat points in (Formula Presented) that we developed in the previous chapter, it is not difficult to show that these sets of points are rarely ACM. In fact, even if the support of the set of fat points is ACM, it is not even true that the set of double points supported on this set of points is ACM as seen in Example 6.23.
Double points and their resolution
Guardo E.;Van Tuyl A.
2015-01-01
Abstract
In this chapter we turn our attention to double points in (Formula Presented), that is, sets of fat points where every point has multiplicity two. Using our classification of ACM sets of fat points in (Formula Presented) that we developed in the previous chapter, it is not difficult to show that these sets of points are rarely ACM. In fact, even if the support of the set of fat points is ACM, it is not even true that the set of double points supported on this set of points is ACM as seen in Example 6.23.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.
