Let X be a complex projective manifold of dimension n and let epsilon be an ample vector bundle of rank r. Let also tau = tau (X, epsilon) = min{tau is an element of R : K-X + t det epsilon is nef} be the nef value of the pair (X, epsilon). In this paper we classify the pairs (X, epsilon) such that tau (X, epsilon) >= n-2/r
Andreatta, M., Novelli, C. (2007). Manifolds polarized by vector bundles. ANNALI DI MATEMATICA PURA ED APPLICATA, 186(2), 281-288 [10.1007/s10231-006-0005-2].
Manifolds polarized by vector bundles
Novelli, C
2007
Abstract
Let X be a complex projective manifold of dimension n and let epsilon be an ample vector bundle of rank r. Let also tau = tau (X, epsilon) = min{tau is an element of R : K-X + t det epsilon is nef} be the nef value of the pair (X, epsilon). In this paper we classify the pairs (X, epsilon) such that tau (X, epsilon) >= n-2/r
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