Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005)https://www.openstarts.units.it/handle/10077/41392024-10-14T03:19:43Z2024-10-14T03:19:43Z161A Note on the CR Cohomology of Levi-Flat Minimal Orbits in Complex Flag ManifoldsAltomani, Andreahttps://www.openstarts.units.it/handle/10077/41552019-03-02T22:35:12Z2005-01-01T00:00:00Zdc.title: A Note on the CR Cohomology of Levi-Flat Minimal Orbits in Complex Flag Manifolds
dc.contributor.author: Altomani, Andrea
dc.description.abstract: We prove a relation between the $\bar{\partial}_{M}$ cohomology of
a minimal orbit of M of a real form of $\mathbf{G}_{0}$ of a complex
semisimple Lie group $\mathbf{G}$ in a flag manifold $\mathbf{G}/\mathbf{Q}$
and the Dolbeault cohomology of the Matsuki dual open orbit X of the
complexification $\mathbf{K}$ of a maximal compact subgroup $\mathbf{K}_{0}$
of $\mathbf{G}_{0}$, under the assumption that M is Levi-flat.
2005-01-01T00:00:00ZLifting Finite Groups of Outer Automorphisms of Free Groups, Surface Groups and their AbelianizationsZimmermann, Bruno P.https://www.openstarts.units.it/handle/10077/41542019-03-02T05:52:13Z2005-01-01T00:00:00Zdc.title: Lifting Finite Groups of Outer Automorphisms of Free Groups, Surface Groups and their Abelianizations
dc.contributor.author: Zimmermann, Bruno P.
dc.description.abstract: In the present note, in part written as a survey, we
discuss the possibility of lifting finite subgroups, and in particular
finite cyclic subgroups, with respect to the canonical projections
between automorphism and outer automorphism groups of free
groups, surface groups and their abelianizations.
2005-01-01T00:00:00ZSome Nonexistence Results for Systems of Nonlinear Partial Differential InequalitiesGalakhov, Evgenyhttps://www.openstarts.units.it/handle/10077/41532019-03-02T06:00:47Z2005-01-01T00:00:00Zdc.title: Some Nonexistence Results for Systems of Nonlinear Partial Differential Inequalities
dc.contributor.author: Galakhov, Evgeny
dc.description.abstract: We obtain nonexistence results for systems of stationary and evolutional partial differential inequalities that involve
p-Laplacian and similar nonlinear operators as well as gradient
nonlinearities. Our proofs are based on the nonlinear capacity
method.
2005-01-01T00:00:00ZOn Self-Injectivity and p-InjectivityYue Chi Ming, Rogerhttps://www.openstarts.units.it/handle/10077/41522019-03-02T05:57:34Z2005-01-01T00:00:00Zdc.title: On Self-Injectivity and p-Injectivity
dc.contributor.author: Yue Chi Ming, Roger
dc.description.abstract: A generalization of injectivity is studied and several properties are developed. Von Neumann regular rings are characterized.
Sufficient conditions are given for a ring to admit a strongly regular classical left quotient ring. A nice characterization
of strongly regular rings is given. Special direct summands
of left self-injective regular and left continuous regular rings are
considered.
2005-01-01T00:00:00ZPolymer Crystallization WavesComparini, ElenaRicci, Riccardohttps://www.openstarts.units.it/handle/10077/41512019-03-02T05:59:14Z2005-01-01T00:00:00Zdc.title: Polymer Crystallization Waves
dc.contributor.author: Comparini, Elena; Ricci, Riccardo
dc.description.abstract: We prove the existence of travelling wave solutions for
a polymer crystallization model. The mathematical problem governing the process consists in a system of two coupled first order
PDE, the heat equation with a source term for the temperature
and the isokinetic law, involving an order parameter $\psi \in$ [0, 1],
whose extreme values correspond to pure phases.
2005-01-01T00:00:00ZPlanar Convex Bodies with a Common Directed X-rayButchler, Gene LacyMedin, AshleySolmon, Donald C.https://www.openstarts.units.it/handle/10077/41502019-03-02T05:57:18Z2005-01-01T00:00:00Zdc.title: Planar Convex Bodies with a Common Directed X-ray
dc.contributor.author: Butchler, Gene Lacy; Medin, Ashley; Solmon, Donald C.
dc.description.abstract: We study X(K), the set of convex bodies in the plane
with the same directed X-ray as the convex body K. We show that
X(K) is complete in the metrics of the uniform and Lp norms.
In fact these metrics turn out to be equivalent even though X(K)
is almost always infinite dimensional. In addition, we characterize the compact subsets of X(K) and determine necessary and
sufficient conditions for X(K) to be uniformly bounded.
2005-01-01T00:00:00ZPetri Maps for Very Ample Line BundlesBallico, Edoardohttps://www.openstarts.units.it/handle/10077/41492019-03-02T22:36:19Z2005-01-01T00:00:00Zdc.title: Petri Maps for Very Ample Line Bundles
dc.contributor.author: Ballico, Edoardo
dc.description.abstract: Here we construct several smooth curves C and several
very ample and special line bundles L on C such that the multiplication
map $H^0(C,L)\otimes H^0(C, \omega_C \otimes L^*) \rightarrow
H^0(C, \omega_C)$ (i.e. the Petri map) is surjective.
2005-01-01T00:00:00ZWhen every Vector Bundle is a Direct Sum of Line Bundles?Ballico, Edoardohttps://www.openstarts.units.it/handle/10077/41482019-03-02T05:53:08Z2005-01-01T00:00:00Zdc.title: When every Vector Bundle is a Direct Sum of Line Bundles?
dc.contributor.author: Ballico, Edoardo
dc.description.abstract: Here we prove the following result. Let X be a reduced
and connected projective variety. Every vector bundle on X is
isomorphic to a direct sum of line bundles if and only if every
irreducible component of X is isomorphic to P1, every singular
point of X is an ordinary node and every irreducible component
of X contains at most two singular points of X.
2005-01-01T00:00:00ZA Note on Smooth Matrices of Constant RankCiampa, MaurizioVolpi, Aldohttps://www.openstarts.units.it/handle/10077/41472019-03-02T05:54:21Z2005-01-01T00:00:00Zdc.title: A Note on Smooth Matrices of Constant Rank
dc.contributor.author: Ciampa, Maurizio; Volpi, Aldo
dc.description.abstract: We show that, given a $C^h$ time–varying matrix A(t) of constant rank, there exists a $C^h$ matrix H(t) such that the rows of H(t)A(t) are an orthonormal basis of the space spanned by the rows of A(t). We present some consequences of this result and, in particular, we prove a version for $m \times n$ matrices of Doležal's Theorem. These results are not new, and references are given. All the proofs of the results stated in these references, with the exception of those based on the use of differential equations — which holds only for $h \geq 1$ —, find suitable $C^h$ matrices defined on overlapping subsets of the domain and then patch them together without losing regularity and the other required properties. In our approach the patching needs to be done only for matrices consisting of one row and all the remaining results are obtained by usual algebraic tools.
2005-01-01T00:00:00ZAn Orlicz Extension of Some New Sequence SpacesSavas, EkremPatterson, Richard F.https://www.openstarts.units.it/handle/10077/41462019-03-02T05:53:03Z2005-01-01T00:00:00Zdc.title: An Orlicz Extension of Some New Sequence Spaces
dc.contributor.author: Savas, Ekrem; Patterson, Richard F.
dc.description.abstract: The aim of this note is to introduce and study a new concept of lacunary σ-convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces.
2005-01-01T00:00:00Z