| Autor: |
Choi, Youngook, Kim, Seonja |
| Předmět: |
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| Zdroj: |
Communications in Algebra; 2024, Vol. 52 Issue 9, p3773-3782, 10p |
| Abstrakt: |
Let X be a smooth curve of genus g which is a multiple covering ϕ : X → Y of a smooth curve Y. We define an invariant Δ ϕ of the map ϕ , which is the maximum among the integers m such that for a base point free line bundle L on X with deg L ≤ g − 1 the inequality Cliff (L) ≤ m implies that L is composed with ϕ . Our main result is that a very ample special line bundle L on X with deg L > 3 g − 3 2 is normally generated when Cliff (L) ≤ Δ ϕ under additional numerical conditions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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