On the Heegaard genus and tri-genus of non-orientable Seifert 3-manifolds
✍ Scribed by Víctor Núñez
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 251 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0166-8641
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## Abstract Let __G__ be a graph embedded in the Klein bottle with “representativity” at least four. We give a formula for the orientable genus of __G__, which also implies a polynomially bounded algorithm. The formula is in terms of the number of times certain closed curves on the Klein bottle int
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