Residual intersections are Koszul–Fitting ideals
نویسندگان
چکیده
منابع مشابه
Core and Residual Intersections of Ideals
D. Rees and J. Sally defined the core of an R-ideal I as the intersection of all (minimal) reductions of I. However, it is not easy to give an explicit characterization of it in terms of data attached to the ideal. Until recently, the only case in which a closed formula was known is the one of integrally closed ideals in a two-dimensional regular local ring, due to C. Huneke and I. Swanson. The...
متن کاملHilbert Functions , Residual Intersections , and Residually S 2 Ideals
Let R be a homogeneous ring over an in¢nite ¢eld, I & R a homogeneous ideal, and a & I an ideal generated by s forms of degrees d 1 Y F F F Y d s so that codim a X I X s.We give broad conditions for when the Hilbert function of Raa or of Ra a X I is determined by I and the degrees d 1 Y F F F Y d s. These conditions are expressed in terms of residual intersections of I, culminating in the not...
متن کاملComplete Intersections in Toric Ideals
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.
متن کاملRESIDUAL OF IDEALS OF AN L-RING
The concept of right (left) quotient (or residual) of an ideal η by anideal ν of an L-subring μ of a ring R is introduced. The right (left) quotients areshown to be ideals of μ . It is proved that the right quotient [η :r ν ] of an idealη by an ideal ν of an L-subring μ is the largest ideal of μ such that[η :r ν ]ν ⊆ η . Most of the results pertaining to the notion of quotients(or residual) of ...
متن کاملResidual Ideals of Maclane Valuations
Let K be a field equipped with a discrete valuation v. In a pioneering work, MacLane determined all valuations on K(x) extending v. His work was recently reviewed and generalized by Vaquié, by using the graded algebra of a valuation. We extend Vaquié’s approach by studying residual ideals of the graded algebra as an abstract counterpart of certain residual polynomials which play a key role in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2019
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x19007541