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- W2000408104 abstract "Let $X_0$ be a smooth hypersurface (not assumed generic) in projective space $mathrm{P}^n$, $n geq 3$ over the complex numbers, and $C_0$ a smooth rational curve on $X_0$. We are interested in the deformations of the pair $C_0 , X_0$. In this paper, we prove that if the first order deformations of the pair exist along certain first order deformations of the hypersurface $X_0$, then the twisted normal bundle $N_{C_0/ X_0}(1) = N_{C_0 / X_0} otimes mathcal{O}_{mathcal{P}^n} (1) vert {}_{C_0}$ is generated by global sections." @default.
- W2000408104 created "2016-06-24" @default.
- W2000408104 creator A5033732336 @default.
- W2000408104 date "2014-01-01" @default.
- W2000408104 modified "2023-09-28" @default.
- W2000408104 title "First order deformations of pairs of a rational curve and a hypersurface" @default.
- W2000408104 doi "https://doi.org/10.4310/ajm.2014.v18.n1.a5" @default.
- W2000408104 hasPublicationYear "2014" @default.
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