Multigraded regularity, reduction vectors and postulation vectors
نویسندگان
چکیده
منابع مشابه
Multigraded Castelnuovo-mumford Regularity
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian group. As in the standard graded case, our definition of multigraded regularity involves the vanishing of graded components of local cohomology. We establish the key properties of regularity: its connection with the m...
متن کاملRegularity of Re nable Function Vectors
We study the existence and regularity of compactly supported solutions r of vector re nement equations The space spanned by the translates of can only provide approximation order if the re nement mask P has certain particular factorization properties We show how the factorization of P can lead to decay of j u j as juj The results on decay are used in order to prove uniqueness of solutions and c...
متن کاملUniform Bounds on Multigraded Regularity
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish this bound, we introduce a new combinatorial tool, called a Stanley filtration, for studying monomial ideals in the homogeneous coordinate ring of X . As a special case, we obtain a new proof of Gotzmann’s regularity the...
متن کاملMultigraded Regularity: Syzygies and Fat Points
The Castelnuovo-Mumford regularity of a graded ring is an important invariant in computational commutative algebra, and there is increasing interest in multigraded generalizations. We study connections between two recent definitions of multigraded regularity with a view towards a better understanding of the multigraded Hilbert function of fat point schemes in P1 × · · · × Pk . MSC 2000: 13D02, ...
متن کاملMultigraded regularity and the Koszul property
We give a criterion for the section ring of an ample line bundle to be Koszul in terms of multigraded regularity. We discuss applications to adjoint bundles on toric varieties as well as to polytopal semigroup rings.
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: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.06.041