Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015)

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CONTENTS

Han Frédéric

Duality and quadratic normality

Jardim Marcos, Marchesi Simone

p -Buchsbaum rank 2 bundles on the projective space

Besana GianMario, Fania Maria Lucia, Flamini Flaminio

On families of rank- 2 uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls

Chiantini Luca

Expressing Forms as a Sum of Pfaffians

Bernardi Alessandra, Gimigliano Alessandro, Idà Monica

A Note on plane rational curves and the associated Poncelet Surfaces

Ellia Philippe, Gruson Laurent

On the Buchsbaum index of rank two vector bundles on P3

Buckley Anita, Tomaž Košir

Simultaneously self-adjoint sets of 3 X 3 matrices

Ottaviani Giorgio, Paoletti Raffaella

A Geometric Perspective on the Singular Value Decomposition

Muñoz Roberto, Occhetta Gianluca, Solá Conde Luis E., Watanabe Kiwamu, Wiśniewski Jarosław A.

A survey on the Campana-Peternell Conjecture

Bonacini Paola

On the lifting problem in positive characteristic

Peskine Christian

Order 1 Congruences of Lines with smooth Fundamental Scheme

Pecaric Josip, Perusic Pribanic Anamarija, Vukelic Ana

Generalizations of Steffensen's inequality via Fink's identity and related results II

Dragomir Sever S.

Discrete inequalities of Jensen type for λ-convex functions on linear spaces

Sovrano Elisa, Zanolin Fabio

Remarks on Dirichlet problems with sub linear growth at infinity

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On families of rank- 2 uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls
(EUT Edizioni Università di Trieste, 2015)
Besana, GianMario
;
Fania, Maria Lucia
;
Flamini, Flaminio
Several families of rank-two vector bundles on Hirzebruch surfaces are shown to consist of all very ample, uniform bundles. Under suitable numerical assumptions, the projectivization of these bundles, embedded by their tautological line bundles as linear scrolls, are shown to correspond to smooth points of components of their Hilbert scheme, the latter having the expected dimension. If e = 0,1 the scrolls fill up the entire component of the Hilbert scheme, while for e = 2 the scrolls exhaust a subvariety of codimension 1.
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