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- W1645723160 abstract "We address the problem of determining the degree a plane curve must have in order to pass with multiplicity m through r points in general position. A conjecture of Nagata states that one must have d > m sqrt{r}. We prove the inequalities d geq m(r-1)prod_{i=2}^{r-1}(1-i/(i^2+r-1)) and d > m (sqrt{r-1} - pi/8)." @default.
- W1645723160 created "2016-06-24" @default.
- W1645723160 creator A5056915259 @default.
- W1645723160 date "1998-07-13" @default.
- W1645723160 modified "2023-09-27" @default.
- W1645723160 title "On the existence of plane curves with prescribed multiple points" @default.
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