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Some adjunction properties of ample vector bundles II

Hironobu Ishihara

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Abstract

Let E be a vector bundle of rank r on a projective variety X of dimension n with only log-terminal singularities. We classify the couples (E,X) satisfying some conditions. We give some applications in case of sectional genus one.

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Let E be a vector bundle of rank r on a projective variety X of dimension n with only log-terminal singularities. We classify the couples (E,X) satisfying some conditions. We give some applications in case of sectional genus one.

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Available abstract

Let E be a vector bundle of rank r on a projective variety X of dimension n with only log-terminal singularities. We classify the couples (E,X) satisfying some conditions. We give some applications in case of sectional genus one.

Key concepts: Adjunction, Vector bundle, Mathematics, Rank (graph theory), Dimension (graph theory), Ample line bundle, Pure mathematics, Gravitational singularity

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Some adjunction properties of ample vector bundles II — Research Paper | ScholarLens