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On the second sectional H-arithmetic genus of polarized manifolds

✍ Scribed by Yoshiaki Fukuma

Publisher: Springer-Verlag
Year: 2005
Tongue: French
Weight: 238 KB
Volume: 250
Category: Article
ISSN: 0025-5874
DOI: 10.1007/s00209-005-0766-0

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Let X be a smooth projective variety over C and L be a nef-big divisor on X. Then ( X , L ) is called a quasi-polarized manifold. Then we conjecture that g ( L ) 2 q ( X ) , where g ( L ) is t.he sectional genus of L and q ( X ) = dim H 1 ( O x ) is the irregularity of X . In general it is unknown I

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