Free Basis Consisting of Strictly Small Sections

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Free Basis Consisting of Strictly Small Sections

Let X be a d-dimensional projective arithmetic variety and L an invertible sheaf on X . We fix a C∞-hermitian metric | · | of L. In Arakelov geometry, we frequently ask whether H(X,L) has a free basis consisting of strictly small sections. However, we know few about this problem in general. For example, Zhang [7] proved that H(X,nL) possesses a free basis as above for n ≫ 1 if the following con...

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2010

ISSN: 1073-7928,1687-0247

DOI: 10.1093/imrn/rnq116