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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.45 (2013)
  6. Classification of polarized manifolds by the second sectional Betti number, II
 
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Classification of polarized manifolds by the second sectional Betti number, II

Fukuma, Yoshiaki
2013
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ISSN
0049-4704
http://hdl.handle.net/10077/9599
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Abstract
Let X be an n-dimensional smooth projective variety defined over the field of complex numbers, let L be a very ample line bundle on X. Then we classify (X,L) with b_2(X,L) = h^2(X,C) + 2, where b_2(X,L) is the second sectional Betti number of (X,L).
Let $X$ be an $n$-dimensional smooth projective variety defined over the field of complex numbers, let $L$ be a very ample line bundle on $X$. Then we classify $(X,L)$ with $b_{2}(X,L)=h^{2}(X,\mathbb{C})+2$, where $b_{2}(X,L)$ is the second sectional Betti number of $(X,L)$.}
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (2013)
Subjects
  • polarized manifold

  • ample line bundle

  • adjunction theory

  • sectional Betti numbe...

Publisher
EUT Edizioni Università di Trieste
Source
Yoshiaki Fukuma, "Classification of polarized manifolds by the second sectional Betti number, II", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 47–66.
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