ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS
- 1 January 2021
- journal article
- research article
- Published by Faculty of Mathematics, Kyushu University in Kyushu Journal of Mathematics
- Vol. 75 (2), 211-233
- https://doi.org/10.2206/kyushujm.75.211
Abstract
Let (X, L) denote a polarized manifold of dimension five. This study considers the dimension of the global sections of KX + mL with m ≥ 6. In particular, we prove that h0(KX + mL) ≥ (m−15) for any polarized 5-fold (X, L) with h0(L) > 0. Furthermore, we also consider (X, L) with h0 (KX + mL) = (m−15) for some m ≥ 6 with h0(L) > 0.Keywords
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