Displaying similar documents to “Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).”

ACM bundles on general hypersurfaces in P of low degree.

Luca Chiantini, Carlo K. Madonna (2005)

Collectanea Mathematica

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In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P a rank 2 vector bundle ε splits if and only if hε(n) = hε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].

ACM embeddings of curves of a quadric surface

S. Giuffrida, R. Maggioni, R. Re (2007)

Collectanea Mathematica

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Let C be a smooth integral projective curve admitting two pencils g and g such that g + g is birational. We give conditions in order that the complete linear system |sg + rg | be normally generated or very ample.

Energy decay rates for solutions of Maxwell's system with a memory boundary condition

Serge Nicaise, Cristina Pignotti (2007)

Collectanea Mathematica

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We consider the stabilization of Maxwell's equations with space variable coefficients in a bounded region with a smooth boundary, subject to dissipative boundary conditions of memory type on the boundary. Under suitable conditions on the domain and on the permeability and permittivity coefficients, we prove the exponential/polynomial decay of the energy. Our result is mainly based on the use of the multipliers method and the introduction of a suitable Lyapounov functional.