Almost-positive vector bundles on projective surfaces

1988 ◽  
Vol 280 (4) ◽  
pp. 537-547 ◽  
Author(s):  
Michael Schneider ◽  
Alessandro Tancredi
2012 ◽  
Vol 55 (1) ◽  
pp. 108-113 ◽  
Author(s):  
Dincer Guler

AbstractThe goal of this note is to prove that the signed Segre forms of Griffiths’ positive vector bundles are positive.


1985 ◽  
Vol 50 (1) ◽  
pp. 133-144 ◽  
Author(s):  
Michael Schneider ◽  
Alessandro Tancredi

1979 ◽  
Vol 14 (1) ◽  
pp. 143-148
Author(s):  
Robert Frankel

Author(s):  
Shun-ichi ETO ◽  
Hideaki KAZAMA ◽  
Kiyoshi WATANABE

Author(s):  
Edoardo Ballico ◽  
Sukmoon Huh ◽  
Joan Pons-Llopis

In this paper, we contribute to the construction of families of arithmetically Cohen–Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces [Formula: see text] for [Formula: see text] an ample line bundle. In many cases, we show that for every positive integer [Formula: see text] there exists a family of indecomposable aCM vector bundles of rank [Formula: see text], depending roughly on [Formula: see text] parameters, and in particular they are of wild representation type. We also introduce a general setting to study the complexity of a polarized variety [Formula: see text] with respect to its category of aCM vector bundles. In many cases we construct indecomposable vector bundles on [Formula: see text] which are aCM for all ample line bundles on [Formula: see text].


1988 ◽  
Vol 150 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Paolo de Bartolomeis ◽  
Maklouf Derridj

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