On the 2 very ampleness of the adjoint bundle

1991 ◽  
Vol 73 (1) ◽  
pp. 45-62 ◽  
Author(s):  
M. Andreatta ◽  
M. Palleschi ◽  
E. Ballico
Keyword(s):  
Very Ampleness ◽  
Adjoint Bundle

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.

On the second adjunction mapping and the very ampleness of the triadjoint bundle

1997 ◽  
pp. 1-23 ◽  
Author(s):  
Mauro C. Beltrametti ◽  
Andrew J. Sommese
Keyword(s):  
Very Ampleness

scholarly journals Effective Faithful Tropicalizations Associated to Adjoint Linear Systems

2018 ◽  
Vol 2019 (19) ◽  
pp. 6089-6112
Author(s):  
Shu Kawaguchi ◽  
Kazuhiko Yamaki
Keyword(s):  
Linear System ◽  
Line Bundle ◽  
Projective Variety ◽  
Ample Line Bundle ◽  
Smooth Projective Variety ◽  
Discrete Valuation Ring ◽  
Complete Discrete Valuation Ring ◽  
System L ◽  
Semistable Model ◽  
Adjoint Bundle

Abstract Let R be a complete discrete valuation ring of equi-characteristic zero with fraction field K. Let X be a connected smooth projective variety of dimension d over K, and let L be an ample line bundle over X. We assume that there exist a regular strictly semistable model ${\mathscr {X}}$ of X over R and a relatively ample line bundle ${\mathscr {L}}$ over ${\mathscr {X}}$ with $\left .{{\mathscr {L}}}\right \vert_{{X}} \cong L$. Let $S({\mathscr {X}})$ be the skeleton associated to ${\mathscr {X}}$ in the Berkovich analytification Xan of X. In this article, we study when $S({\mathscr {X}})$ is faithfully tropicalized into tropical projective space by the adjoint linear system |L⊗m ⊗ ωX|. Roughly speaking, our results show that if m is an integer such that the adjoint bundle is basepoint free, then the adjoint linear system admits a faithful tropicalization of $S({\mathscr {X}})$.

scholarly journals Fujita's very ampleness conjecture for singular toric varieties

2006 ◽  
Vol 58 (3) ◽  
pp. 447-459 ◽  
Author(s):  
Sam Payne
Keyword(s):  
Toric Varieties ◽  
Very Ampleness

Very ampleness for Theta on the compactified Jacobian

1997 ◽  
Vol 226 (2) ◽  
pp. 181-191 ◽  
Author(s):  
Eduardo Esteves
Keyword(s):  
Very Ampleness ◽  
Compactified Jacobian

On the spannedness and very ampleness of certain line bundles on the blow-ups of ? ? 2 andF r

1983 ◽  
Vol 262 (2) ◽  
pp. 225-238 ◽  
Author(s):  
Ekin M. Bese
Keyword(s):  
Line Bundles ◽  
Very Ampleness

Very ampleness of multiple of tetragonal linear systems

1993 ◽  
Vol 21 (12) ◽  
pp. 4587-4597 ◽  
Author(s):  
Takao Kato ◽  
Akira Ohbuchi
Keyword(s):  
Linear Systems ◽  
Very Ampleness

scholarly journals Effective very ampleness for generalized theta divisors

2004 ◽  
Vol 123 (3) ◽  
pp. 429-444
Author(s):  
Eduardo Esteves ◽  
Mihnea Popa
Keyword(s):  
Very Ampleness
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