Geometrically ruled surfaces as zero loci of ample vector bundles

1997 ◽  
Vol 9 (9) ◽  
pp. 1-16 ◽  
Author(s):  
Antonio Lanteri ◽  
Hidetoshi Maeda
Keyword(s):  
Vector Bundles ◽  
Ruled Surfaces

scholarly journals Rank-two vector bundles on non-minimal ruled surfaces

2017 ◽  
Vol 370 (6) ◽  
pp. 3913-3929
Author(s):  
Marian Aprodu ◽  
Laura Costa ◽  
Rosa Maria Miró-Roig
Keyword(s):  
Vector Bundles ◽  
Ruled Surfaces

scholarly journals Fibre equivalence of vector bundles on ruled surfaces

1978 ◽  
Vol 12 (3) ◽  
pp. 201-205
Author(s):  
Stephen S. Shatz
Keyword(s):  
Vector Bundles ◽  
Ruled Surfaces

scholarly journals Generically nef vector bundles on ruled surfaces

2018 ◽  
Vol 198 (2) ◽  
pp. 443-463
Author(s):  
Beorchia Valentina ◽  
Zucconi Francesco
Keyword(s):  
Vector Bundles ◽  
Ruled Surfaces ◽  
Nef Vector Bundles

scholarly journals Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces

2010 ◽  
Vol 62 (6) ◽  
pp. 1201-1227 ◽  
Author(s):  
Alberto Alzati ◽  
Gian Mario Besana
Keyword(s):  
Elliptic Curves ◽  
Vector Bundles ◽  
Ruled Surfaces ◽  
Low Degree ◽  
Very Ampleness ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

AbstractVery ampleness criteria for rank 2 vector bundles over smooth, ruled surfaces over rational and elliptic curves are given. The criteria are then used to settle open existence questions for some special threefolds of low degree.

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

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