DSpace Collection:http://www.openstarts.units.it:80/dspace/handle/10077/40292014-07-31T15:38:15Z2014-07-31T15:38:15ZSome Remarks on Homogeneous Minimal ReductionsSpangher, Walterhttp://www.openstarts.units.it:80/dspace/handle/10077/41882011-07-12T09:01:50Z2007-01-01T00:00:00ZTitle: Some Remarks on Homogeneous Minimal Reductions
Authors: Spangher, Walter
Abstract: Let I be a homogeneous ideal of a graded affine k–algebra
R such that there exists some homogeneous minimal reduction.
We prove that the degrees (of a basis) of every homogeneous
minimal reduction J of I are uniquely determined by I;
moreover if the fiber cone F(I) is reduced, then the last degree
of J is equal to the last degree of I. Moreover, if R is Cohen–
Macaulay and I is of analytic deviation one, with 0 < ht(I) := g,
it is shown that the first g degrees of J are equals to the first g
degrees of I.
These results are applied to the ideals I of $k[x_0, . . . , x_{d−1}]$,
which have scheme–th. generations of length \leq ht(I) + 2.
Some examples are given.
Type: Articolo2007-01-01T00:00:00ZAn Algorithm for Reconstructing a Convex Polygon from its CovariogramBenassi, CarloD'Ercole, Giulianahttp://www.openstarts.units.it:80/dspace/handle/10077/41262011-05-03T07:25:04Z2007-01-01T00:00:00ZTitle: An Algorithm for Reconstructing a Convex Polygon from its Covariogram
Authors: Benassi, Carlo; D'Ercole, Giuliana
Abstract: The covariogram of a compact convex set $K \subset \mathbb R^n$ is
the function that at each point $x \in \mathbb R^n$
associates the volume of
$K \cap (K + x)$. The covariogram determines, among all convex
bodies, any planar convex polygon. In this paper we present an
algorithm for reconstructing an arbitrary convex polygon from its
covariogram.
Type: Articolo2007-01-01T00:00:00ZOn the Limit Behavior in a Free Boundary Model for the Diffusion in a PolymerGaudiano, MarcosGodoy, TomasTurner, Cristinahttp://www.openstarts.units.it:80/dspace/handle/10077/41252011-03-15T00:35:13Z2007-01-01T00:00:00ZTitle: On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer
Authors: Gaudiano, Marcos; Godoy, Tomas; Turner, Cristina
Abstract: Free boundary problems arise modelling the sorption of
solvents into glassy polymers. There are physical reasons to expect that a convective condition with coefficient h, behaves asymptotically as a Dirichlet condition. In this work we prove, analyzing the uniform convergence the equivalence of these problems.
A condition is also derived that allows one to decide whether a
specific application lies within the asymptotic regime.
Type: Articolo2007-01-01T00:00:00ZCountability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative StudyKundu, S.Garg, Pratibhahttp://www.openstarts.units.it:80/dspace/handle/10077/41242011-07-13T09:00:35Z2007-01-01T00:00:00ZTitle: Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
Authors: Kundu, S.; Garg, Pratibha
Abstract: The main goal of this paper is to study the countability
properties, such as the countable chain condition, Lindeöf property
and second countability of the pseudocompact-open topology
on C(X), the set of all continuous real-valued functions on a Tychonoff
space X. But in order to make this study fruitful, these
countability properties of the pseudocompact-open topology are
compared with those of the point-open and compact-open topologies
on C(X).
Type: Articolo2007-01-01T00:00:00Z