Open Access
February 2013 Classification of polarized manifolds by the second sectional Betti number
Yoshiaki Fukuma
Hokkaido Math. J. 42(3): 463-472 (February 2013). DOI: 10.14492/hokmj/1384273393

Abstract

Let X be an n-dimensional smooth projective variety defined over the field of complex numbers, let L be an ample and spanned line bundle on X. Then we classify (X,L) with b2(X,L) = h2(X,ℂ)+1, where b2(X,L) is the second sectional Betti number of (X,L).

Citation

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Yoshiaki Fukuma. "Classification of polarized manifolds by the second sectional Betti number." Hokkaido Math. J. 42 (3) 463 - 472, February 2013. https://doi.org/10.14492/hokmj/1384273393

Information

Published: February 2013
First available in Project Euclid: 12 November 2013

zbMATH: 1282.14012
MathSciNet: MR3137396
Digital Object Identifier: 10.14492/hokmj/1384273393

Subjects:
Primary: 14C20
Secondary: 14C17 , 14J30 , 14J35 , 14J40

Keywords: adjunction theory , ample line bundle , polarized manifold , sectional Betti number

Rights: Copyright © 2013 Hokkaido University, Department of Mathematics

Vol.42 • No. 3 • February 2013
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