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The sectional genus of quasi-polarised varieties

✍ Scribed by Andreas Höring

Publisher
Springer
Year
2010
Tongue
English
Weight
174 KB
Volume
95
Category
Article
ISSN
0003-889X

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On Sectional Genus of Quasi—Polarized Ma
On Sectional Genus of Quasi—Polarized Manifolds with Non-Negative Kodaira Dimension
✍ Yoshiaki Fukuma 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 369 KB

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