| Autor: |
JIRYO KOMEDA, TAKESHI TAKAHASHI |
| Předmět: |
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| Zdroj: |
Rendiconti del Seminario Matematico della Universita di Padova; 2024, Vol. 152, p21-44, 24p |
| Abstrakt: |
Let C ⊂ 핡³ be a canonical curve of genus 4 over an algebraically closed field k of characteristic zero. For a line l, we consider the projection πl C → 핡¹ with center l and the extension of the function fields πl* W (k (핡¹) → k(C). A line l is referred to as a cyclic line if the extension πl* W (k ((핡¹)) is cyclic. A line l ⊂ 핡³ is said to be skew if C ∩ l = θ. We prove that the number of skew cyclic lines is equal to 0; 1; 3 or 9. We determine curves that have nine skew cyclic lines. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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