Characterizing projective bundles by means of ample divisors

1984 ◽  
Vol 45 (3) ◽  
pp. 207-218 ◽  
Author(s):  
Antonio Lanteri ◽  
Marino Palleschi
Keyword(s):  
Projective Bundles ◽  
Ample Divisors

Very ample divisors on projective bundles over an elliptic curve

1990 ◽  
Vol 47 (6) ◽  
pp. 534-539
Author(s):  
N. P. Gushel'
Keyword(s):  
Elliptic Curve ◽  
Projective Bundles ◽  
Ample Divisors

scholarly journals Numerical Criteria for Very Ampleness of Divisors on Projective Bundles Over an Elliptic Curve

1996 ◽  
Vol 48 (6) ◽  
pp. 1121-1137 ◽  
Author(s):  
Alberto Alzati ◽  
Marina Bertolini ◽  
Gian Mario Besana
Keyword(s):  
Elliptic Curve ◽  
Numerical Characterization ◽  
Projective Bundles ◽  
Very Ampleness

AbstractLet D be a divisor on a projectivized bundle over an elliptic curve. Numerical conditions for the very ampleness of D are proved. In some cases a complete numerical characterization is found.

scholarly journals Delta invariants of projective bundles and projective cones of Fano type

2021 ◽  
Author(s):  
Kewei Zhang ◽  
Chuyu Zhou
Keyword(s):  
Projective Bundles

AbstractIn this paper, we will give a precise formula to compute delta invariants of projective bundles and projective cones of Fano type.

Affine Open Subsets of Algebraic Varieties and Ample Divisors

1969 ◽  
Vol 89 (1) ◽  
pp. 160 ◽  
Author(s):  
Jacob Eli Goodman
Keyword(s):  
Algebraic Varieties ◽  
Ample Divisors

Classification of polarized manifolds admitting homogeneous varieties as ample divisors

2008 ◽  
Vol 342 (3) ◽  
pp. 557-563 ◽  
Author(s):  
Kiwamu Watanabe
Keyword(s):  
Ample Divisors ◽  
Homogeneous Varieties

scholarly journals An algebraic correspondence with applications to projective bundles and blowing up Chern classes

1975 ◽  
Vol 102 (1) ◽  
pp. 1-36 ◽  
Author(s):  
A. T. Lascu ◽  
D. B. Scott
Keyword(s):  
Chern Classes ◽  
Projective Bundles ◽  
Blowing Up ◽  
Algebraic Correspondence

scholarly journals Projective bundles over small covers and the bundle triviality problem

2016 ◽  
Vol 28 (4) ◽  
Author(s):  
Shintarô Kuroki ◽  
Zhi Lü
Keyword(s):  
Convex Polytopes ◽  
Necessary And Sufficient Condition ◽  
Real Projective Space ◽  
Real Vector ◽  
Small Cover ◽  
Projective Bundles ◽  
Tautological Line Bundle ◽  
Necessary And Sufficient ◽  
Open Question ◽  
Simple Convex

AbstractThe present paper investigates the projective bundles over small covers. We first give a necessary and sufficient condition for the projectivization of a real vector bundle over a small cover to be a small cover. Then associated with moment-angle manifolds, we further study the structure of such a projectivization as a small cover by introducing a new characteristic function on simple convex polytopes. As an application, we characterize the real projective bundles over 2-dimensional small covers by interpreting the fiber sum operation to some combinatorial operation. We next determine when the projectivization of Whitney sum of the tautological line bundle and the tangent bundle over real projective space is diffeomorphic to the product of two real projective spaces. This answers an open question regarding the topology of the fiber of the Monster-Semple tower.

scholarly journals Projective Bundles of Singular Plane Cubics

2002 ◽  
Vol 242 (1) ◽  
pp. 119-131 ◽  
Author(s):  
Stefan Kebekus
Keyword(s):  
Projective Bundles
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