Test ideals in non-$\mathbb{Q}$-Gorenstein rings
نویسندگان
چکیده
منابع مشابه
Good Ideals in Gorenstein Local Rings
Let I be an m-primary ideal in a Gorenstein local ring (A,m) with dimA = d, and assume that I contains a parameter ideal Q in A as a reduction. We say that I is a good ideal in A if G = ∑ n≥0 I n/In+1 is a Gorenstein ring with a(G) = 1−d. The associated graded ring G of I is a Gorenstein ring with a(G) = −d if and only if I = Q. Hence good ideals in our sense are good ones next to the parameter...
متن کامل. A C ] 2 3 Ju n 20 09 TEST IDEALS IN NON - Q - GORENSTEIN RINGS
Suppose that X = SpecR is an F -finite normal variety in characteristic p > 0. In this paper we show that the big test ideal τb(R) = τ̃ (R) is equal to ∑ ∆ τ(R; ∆) where the sum is over ∆ such that KX + ∆ is Q-Cartier. This affirmatively answers a question asked by various people, including Blickle, Lazarsfeld, K. Lee and K. Smith. Furthermore, we have a version of this result in the case that R...
متن کاملParameter Test Ideals of Cohen Macaulay Rings
The main aim of this paper is to provide a description of parameter test ideals of local Cohen-Macaulay rings of prime characteristic p. The nature of this description will be such that it will allow us to give an algorithm for producing these ideals. The results in this paper will follow from an analysis of Frobenous maps on injective hulls of the residue fields of the rings under consideratio...
متن کاملGorenstein rings through face rings of manifolds
The face ring of a homology manifold (without boundary) modulo a generic system of parameters is studied. Its socle is computed and it is verified that a particular quotient of this ring is Gorenstein. This fact is used to prove that the sphere g-conjecture implies all enumerative consequences of its far reaching generalization (due to Kalai) to manifolds. A special case of Kalai’s manifold g-c...
متن کاملAdjoint ideals and Gorenstein blowups in two-dimensional regular local rings
In this article we investigate when a complete ideal in a twodimensional regular local ring is a multiplier ideal of some ideal with an integral multiplying parameter. In particular, we show that this question is closely connected to the Gorenstein property of the blowup along the ideal.
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: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05297-9