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- W2862628399 abstract "Let $X_0$ be a generic quintic threefold in projective space $mathbf P^4$ over complex numbers and $C_0$ be an irreducible rational curve on $X_0$. Let $$c_0: mathbf P^1to C_0subset X_0$$ be its normalization. In this paper, we show (1) $c_0$ must be an immersion, i.e. the differential $(c_0)_ast: T_{t}mathbf P^1 to T_{c_0(t)} X_0$ is injective at each $tin mathbf P^1$, (2) the normal bundle of $c_0$ satisfies $$H^1(N_{c_0/X_0})=0.$$" @default.
- W2862628399 created "2018-07-19" @default.
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- W2862628399 date "2012-02-13" @default.
- W2862628399 modified "2023-10-16" @default.
- W2862628399 title "First order deformations of pairs of rational curves and quintic threefolds" @default.
- W2862628399 hasPublicationYear "2012" @default.
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