Fei Ye, HKU, Hong Kong Fujita's freeness conjecture on projective 5-folds
Abstract Let X be a smooth
projective variety of dimension 5 over C
and L be an ample line bundle on X. In this talk, I will introduce
some new invariants and techniques, and explain difficulties and ideas in our
proof of Fujita's freeness conjecture on X,
i.e. the adjoint linear system |K_{X }+ kL| is base point free whenever
k ≥ 6. |