Geodesic
Some Adjunction Properties of Ample Vector Bundles
Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 452-458

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Let $\mathcal{E}$ be an ample vector bundle of rank $r$ on a projective variety $X$ with only log-terminal singularities. We consider the nefness of adjoint divisors ${{K}_{X}}\,+\,\left( t-r \right)\,\det \,\mathcal{E}$ when $t\,\ge \,\dim\,X$ and $t\,>\,r$ . As an application, we classify pairs $\left( X,\,\mathcal{E} \right)$ with ${{c}_{r}}$ -sectional genus zero.
DOI : 10.4153/CMB-2001-045-7
Mots-clés : 14J60, 14C20, 14F05, 14J40, ample vector bundle, adjunction, sectional genus 
Ishihara, Hironobu. Some Adjunction Properties of Ample Vector Bundles. Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 452-458. doi: 10.4153/CMB-2001-045-7
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     title = {Some {Adjunction} {Properties} of {Ample} {Vector} {Bundles}},
     journal = {Canadian mathematical bulletin},
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     year = {2001},
     volume = {44},
     number = {4},
     doi = {10.4153/CMB-2001-045-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-045-7/}
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