共查询到20条相似文献,搜索用时 15 毫秒
1.
Elisa Gorla 《Journal of Pure and Applied Algebra》2007,211(2):433-444
We study the family of ideals defined by mixed size minors of two-sided ladders of indeterminates. We compute their Gröbner bases with respect to a skew-diagonal monomial order, then we use them to compute the height of the ideals. We show that these ideals correspond to a family of irreducible projective varieties, that we call mixed ladder determinantal varieties. We show that these varieties are arithmetically Cohen-Macaulay, and we characterize the arithmetically Gorenstein ones. Our main result consists in proving that mixed ladder determinantal varieties belong to the same G-biliaison class of a linear variety. 相似文献
2.
Takafumi Shibuta 《Journal of Pure and Applied Algebra》2011,215(12):2829-2842
We give algorithms for computing multiplier ideals using Gröbner bases in Weyl algebras. To this end, we define a modification of Budur-Musta?aˇ-Saito’s generalized Bernstein-Sato polynomial. We present several examples computed by our algorithm. 相似文献
3.
Anatoly Libgober 《manuscripta mathematica》2002,107(2):251-269
Multivariable Alexander invariants of algebraic links calculated in terms of algebro-geometric invariants (polytopes and
ideals of quasiadjunction). The relations with log-canonical divisors, the multiplier ideals and a semicontinuity property
of polytopes of quasiadjunction are discussed.
Received: 8 February 2001 / Revised version: 1 December 2001 相似文献
4.
We show that the restriction to a smooth transversal section commutes to the computation of multiplier ideals and V-filtrations. As an application we prove the constancy of the jumping numbers and the spectrum along any stratum of a Whitney regular stratification. 相似文献
5.
Shunsuke Takagi Kei-ichi Watanabe 《Transactions of the American Mathematical Society》2004,356(10):3951-3961
Demailly, Ein and Lazarsfeld proved the subadditivity theorem for multiplier ideals on nonsingular varieties, which states the multiplier ideal of the product of ideals is contained in the product of the individual multiplier ideals. We prove that, in the two-dimensional case, the subadditivity theorem holds on log terminal singularities. However, in the higher dimensional case, we have several counterexamples. We consider the subadditivity theorem for monomial ideals on toric rings and construct a counterexample on a three-dimensional toric ring.
6.
Alexander Rashkovskii 《Mathematische Zeitschrift》2013,275(3-4):1217-1238
We study several classes of isolated singularities of plurisubharmonic functions that can be approximated by analytic singularities with control over their residual Monge–Ampère masses. They are characterized in terms of Green functions for Demailly’s approximations, relative types, and valuations. Furthermore, the classes are shown to appear when studying graded families of ideals of analytic functions and the corresponding asymptotic multiplier ideals. 相似文献
7.
Zachariah C. Teitler 《代数通讯》2013,41(6):1902-1913
We consider the multiplier ideals of the ideal of a reduced union of lines through the origin in ?3. For general arrangements of lines, we calculate the multiplier ideals. 相似文献
8.
Mircea Mustata 《Transactions of the American Mathematical Society》2006,358(11):5015-5023
In this note we compute multiplier ideals of hyperplane arrangements. This is done using the interpretation of multiplier ideals in terms of spaces of arcs by Ein, Lazarsfeld, and Mustata (2004).
9.
We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with ideals, graded systems of ideals and plurisubharmonic functions in a unified way. Among the applications are a formula for the complex integrability exponent of a plurisubharmonic function in terms of Kiselman numbers, and a proof of the openness conjecture by Demailly and Kollár. Our technique also yields new proofs of two recent results: one on the structure of the set of complex singularity exponents for holomorphic functions; the other by Lipman and Watanabe on the realization of ideals as multiplier ideals.
10.
Carlos Galindo 《Advances in Mathematics》2010,225(2):1046-1068
For a simple complete ideal ℘ of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series P℘, that gathers in a unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to ℘. This paper is devoted to prove that P℘ is a rational function giving an explicit expression for it. 相似文献
11.
Seunghun Lee 《Journal of Pure and Applied Algebra》2010,214(2):112-116
Let a be a non-zero ideal sheaf on a smooth affine variety X of dimension d and let c be a positive rational number. Let x be a closed point of X and let mx be the maximal ideal sheaf at x. In [Robert Lazarsfeld, Kyungyong Lee, Local syzygies of multiplier ideals, Invent. Math. 167 (2007) 409-418] the authors studied the local syzygies of the multiplier ideal J(ac). Motivated by their result, the asymptotic behavior of the local syzygies of the multiplier ideal at x for k≥d−2 was studied in [Seunghun Lee, Filtrations and local syzygies of multiplier ideals, J. Algebra (2007) 629-639]. In this note, we study the local syzygies of at x for 1≤k≤d−3. As a by-product we give a different proof of the main theorem in the former reference cited above. 相似文献
12.
Given an ideal a⊆R in a (log) Q-Gorenstein F -finite ring of characteristic p>0, we study and provide a new perspective on the test ideal τ(R,at) for a real number t>0. Generalizing a number of known results from the principal case, we show how to effectively compute the test ideal and also describe τ(R,at) using (regular) alterations with a formula analogous to that of multiplier ideals in characteristic zero. We further prove that the F -jumping numbers of τ(R,at) as t varies are rational and have no limit points, including the important case where R is a formal power series ring. Additionally, we obtain a global division theorem for test ideals related to results of Ein and Lazarsfeld from characteristic zero, and also recover a new proof of Skoda's theorem for test ideals which directly mimics the proof for multiplier ideals. 相似文献
13.
Seunghun Lee 《Journal of Algebra》2009,321(1):284-291
In this note, we study the behavior of depths of multiplier ideals under restriction when the lengths of constancy are zero. 相似文献
14.
Seunghun Lee 《Journal of Pure and Applied Algebra》2012,216(1):233-237
In this short note, we give a formula for the restriction of multiplier ideals when their depth is greater than one. 相似文献
15.
16.
V. Bonanzinga 《Archiv der Mathematik》2003,81(4):385-396
In this paper we characterize all principal Borel ideals with Borel generator
up to degree 4 which are Gotzmann. We also classify principal Borel ideals with a
Borel generator of degree d which are lexsegment
and we describe the shadows of principal Borel ideals. Finally, we
discuss the corresponding results for squarefree monomial ideals.Received: 10 May 2002 相似文献
17.
《Applied Mathematics Letters》2006,19(3):244-250
We present a new stabilized mixed finite element method for second order elliptic equations in divergence form with Neumann boundary conditions. The approach introduces first the trace of the solution on the boundary as a Lagrange multiplier, which yields a corresponding residual term that is expressed in the Sobolev norm of order 1/2 by means of wavelet bases. The stabilization procedure is then completed with the residuals arising from the constitutive and equilibrium equations. We show that the resulting mixed variational formulation and the associated Galerkin scheme are well posed. In addition, we provide a residual-based reliable and efficient a posteriori error estimate. 相似文献
18.
Giancarlo Rinaldo 《Archiv der Mathematik》2008,91(5):416-426
We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products.
Moreover when these ideals are Cohen-Macaulay we calculate their type.
Received: 9 March 2008 相似文献
19.
Zach Teitler 《Proceedings of the American Mathematical Society》2008,136(5):1575-1579
In 2006, M. Mustaţă used jet schemes to compute the multiplier ideals of reduced hyperplane arrangements. We give a simpler proof using a log resolution and generalize to non-reduced arrangements. By applying the idea of wonderful models introduced by De Concini-Procesi in 1995, we also simplify the result. Indeed, Mustaţă's result expresses the multiplier ideal as an intersection, and our result uses (generally) fewer terms in the intersection.
20.
A formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated.Mathematics Subject Classification (2000): 14J17, 13A35The author is grateful to Nobuo Hara for interesting discussions and thanks the referee for a careful reading and thoughtful comments.in final form: 02 November 2003 相似文献