On the Lower Bound Estimates of Sections of the Canonical Bundles over a Riemann Surface
نویسنده
چکیده
Suppose M is an n-dimensional Kähler manifold and L is an ample line bundle over M . Let the Kähler form of M be ωg and the Hermitian metric of L be H. We assume that ωg is the curvature of H, that is, ωg = Ric(H). The Kähler metric of ωg is called a polarized Kähler metric on M . Using H and ωg, for any positive integer m, H 0(M,Lm) becomes a Hermitian inner product space. We use the following notations: suppose that S, T ∈ H0(M,Lm). Let < S, T >Hm be the pointwise inner product and
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