T. Kawachi

activity

19961998

most citedEffective base point freeness on normal surfaces

2 citations · 4 across the 4 of their papers we have counts for

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Showing 1996Show all

2 papers · 1 filter

alg-geom1996★ 1 cited

Higher dimensional examples of manifolds whose adjoint bundles are not spanned

Takeshi Kawachi

Let $(X, L)$ be an $n$ -dimensional polarized variety. Fujita's conjecture says that if $L^{n} > 1$ then the adjoint bundle $K_{X} + n L$ is spanned and $K_{X} + (n + 1) L$ is very ample. There are…

alg-geom1996★ 1 cited

On freeness theorem of the adjoint bundle on a normal surface

Takeshi Kawachi

We extend Reider's freeness criterion to normal surfaces of characteristic 0. Let Y be a normal surface. Let D be a nef divisor on Y such that K_Y+D is a Cartier divisor. Let x be…