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Tue, 16 May 2006 13:08:47 +0200Tue, 16 May 2006 13:08:47 +0200Functions preserving 2-series strict orders
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1737
In recent years a considerable attention was paid to an investigation of finite orders relative to different properties of their isotone functions [2,3]. Strict order relations are defined as strict asymmetric and transitive binary relations. Some algebraic properties of strict orders were already studied in [6]. For the class K of so-called 2-series strict orders we describe the partially ordered set EndK of endomorphism monoids, ordered by inclusion. It is obtained that EndK possesses a least element and in most cases defines a Boolean algebra. Moreover, every 2-series strict order is determined by its n-ary isotone functions for some natural number n.Rainer Lenzpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1737Tue, 16 May 2006 13:08:47 +0200Isotone mappings of levelled strict orders
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1736
Strict order relations are defined as strict asymmetric and transitive binary relations. For classes of so-called levelled strict orders it is analyzed, under which conditions the endomorphism monoids of two relations coincide; in particular the case of direct sums of strict antichains is studied. Further, it is shown that these orders differ in their sets of binary order preserving functions.Rainer Lenzpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1736Tue, 16 May 2006 13:08:21 +0200Rank two Cohen-Macaulay modules over singularities of type .....
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1467
We describe, by matrix factoizations, all the rank two maximal Cohen-Macauly modules over singularities of type ......Corina Baciu; Vivian Ene; Gerhard Pfister; Dorin Popescupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1467Thu, 22 Jan 2004 10:18:48 +0100Maximal Cohen-Macaulay Modules over a Non-Isolated Hypersurface Singularity
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1444
Corina Baciupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1444Mon, 03 Nov 2003 14:50:59 +0100Hyperquasivarieties
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1424
We consider the notion of hyper-quasi-identities and hyperquasivarieties, as a common generalization of the concept of quasi-identity and quasivariety invented by A.I. Mal'cev, cf. [10], cf. [5] and hypervariety invented by the authors in [6].Ewa Graczynska; Dietmar Schweigertpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1424Sat, 30 Aug 2003 17:30:49 +0200Hochschild- and Cyclic-Homology of LCNT-Spaces
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1422
We define a class of topological spaces (LCNT-spaces) which come together with a nuclear Frechet algebra. Like the algebra of smooth functions on a manifold, this algebra carries the differential structure of the object. We compute the Hochschild homology of this object and show that it is isomorphic to the space of differential forms. This is a generalization of a result obtained by Alain Connes in the framework of smooth manifolds.Christian Ewaldpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1422Wed, 20 Aug 2003 20:35:41 +0200Morozov's Discrepancy Principle Under General Source Conditions
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1343
In this paper we study linear ill-posed problems Ax = y in a Hilbert space setting where instead of exact data y noisy data y^delta are given satisfying |y - y^delta| <= delta with known noise level delta. Regularized approximations are obtained by a general regularization scheme where the regularization parameter is chosen from Morozov's discrepancy principle. Assuming the unknown solution belongs to some general source set M we prove that the regularized approximation provides order optimal error bounds on the set M. Our results cover the special case of finitely smoothing operators A and extends recent results for infinitely smoothing operators.M. Thamban Nair; Eberhard Schock; Ulrich Tautenhahnpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1343Thu, 29 Aug 2002 00:00:00 +0200An economic approach to discretization of nonstationary iterated Tikhonov method
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1277
An adaptive discretization scheme of ill-posed problems is used for nonstationary iterated Tikhonov regularization. It is shown that for some classes of operator equations of the first kind the proposed algorithm is more efficient compared with standard methods.Sergei G. Solodkypreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1277Tue, 05 Feb 2002 00:00:00 +0100On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1280
In this short note we prove some general results on semi-stable sheaves on P_2 and P_3 with arbitrary linear Hilbert polynomial. Using Beilinson's spectral sequence, we compute free resolutions for this class of semi-stable sheaves and deduce that the smooth moduli spaces M_{r m + s}(P_2) and M_{r m + r - s}(P_2) are birationally equivalent if r and s are coprime.Hans Georg Freiermuthpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1280Tue, 08 Jan 2002 00:00:00 +0100Homological Mirror Symmetry in Dimension One
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1254
In this paper we complete the proof began by A. Polishchuk and E. Zaslow of a weak version of Kontsevich's symmetry conjecture for elliptic curves.Bernd Kreusslerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1254Fri, 07 Sep 2001 00:00:00 +0200Presentation of power-ordered sets
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1259
Power-ordered sets are not always lattices. In the case of distributive lattices we give a description by disjoint of chains. Finite power-ordered sets have a polarity. We introduct the leveled lattices and show examples with trivial tolerance. Finally we give a list of Hasse diagrams of power-ordered sets.Dietmar Schweigertpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1259Fri, 07 Sep 2001 00:00:00 +0200The finite-section approximation for ill-posed integral equations on the half-line
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1260
Integral equations on the half of line are commonly approximated by the finite-section approximation, in which the infinite upper limit is replaced by apositie number called finite-section parameter. In this paper we consider the finite-section approximation for first kind intgral equations which are typically ill-posed and call for regularization. For some classes of such equations corresponding to inverse problems from optics and astronomy we indicate the finite-section parameters that allows to apply standard regularization techniques. Two discretization schemes for the finite-section equations ar also proposed and their efficiency is studied.Sergei Pereverzev; Eberhard Schockpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1260Fri, 07 Sep 2001 00:00:00 +0200Maximal Cohen-Macaulay Modules over the Cone of an Elliptic Curve
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1261
Radu Laza; Gerhard Pfister; Popescu Dorinpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1261Fri, 07 Sep 2001 00:00:00 +0200Derived Tameness of some Associative Algebras
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1262
In this article we propose a new method to deal with the derived categories of some semi-perfect k-algebras. This method gives us a unifying description of the derived categories of a branch class of algebras such as gentle algebras, some lannish algebras, of the Gelfand quiver etc.Igor Burban; Yuriy Drozdpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1262Fri, 07 Sep 2001 00:00:00 +0200Construction of Moduli Spaces for Space Curve Singularities of Multiplicity 3
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1257
Anne Frühbis-Krügerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1257Thu, 31 May 2001 00:00:00 +0200Moduli spaces for torsion free modules on curve singularities I
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/804
Gert-Martin Greuel; Gerhard Pfisterarticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/804Mon, 03 Apr 2000 00:00:00 +0200On moduli spaces of semiquasihomogeneous singularities
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/805
Gert-Martin Greuel; Gerhard Pfisterpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/805Mon, 03 Apr 2000 00:00:00 +0200Multiple Koszul structures on lines and instanton bundles
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/806
Thomas Nüßler; Günther Trautmannpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/806Mon, 03 Apr 2000 00:00:00 +0200Semicontinuity for representations of Cohen-Macaulay rings
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/807
Yurij Drozd; Gert-Martin Greuelpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/807Mon, 03 Apr 2000 00:00:00 +0200Equianalytic and equisingular families of curves on surfaces
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/808
Gert-Martin Greuel; Christoph Lossenpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/808Mon, 03 Apr 2000 00:00:00 +0200Existence of twistor spaces of algebraic dimension two over the connected sum o
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/809
Frédéric Campana; Bernd Kreußlerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/809Mon, 03 Apr 2000 00:00:00 +0200Moduli Spaces of Semiquasihomogeneous Singularities with fixed Principal Part
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/810
Gert-Martin Greuel; Claus Hertling; Gerhard Pfisterpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/810Mon, 03 Apr 2000 00:00:00 +0200Moishezon twistor spaces without effective divisors of degree one
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/811
Bernd Kreußlerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/811Mon, 03 Apr 2000 00:00:00 +0200Geometric quotients of unipotent group actions II
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/813
Gert-Martin Greuel; Gerhard Pfisterpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/813Mon, 03 Apr 2000 00:00:00 +0200The Riemann-Siegel Integral Formula for Dirichlet Series Associated to Cusp Forms
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/816
Andreas Guthmannpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/816Mon, 03 Apr 2000 00:00:00 +0200