Higher order embeddings of abelian varieties
β Scribed by T. Bauer; T. Szemberg
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- French
- Weight
- 122 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional many-electron system under periodic conditions.
## Abstract Let __L__ be a very ample line bundle on a smooth complex projective surface. The relations between the higher order embedding properties of __L__, like __k__ β spannedness, __k__ β very ampleness, __k__ β jet ampleness, and the higher numerical connectedness properties of divisors __D_
## Abstract Let __L__ be a nef line bundle on a Del Pezzo surface. We show that __L__ + __K~S~__ is birationally __k__βvery ample if and only if all the smooth curves in |__L__| have gonality β₯__k__ + 2, and we also find numerical criteria for birational __k__βvery ampleness.