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- W2769059413 abstract "Let $(Z, D)$ be a pair of a smooth surface and a smooth anti-canonical divisor. Denote by $mathfrak{M}_beta$ the moduli stack of genus $0$ relative stable morphisms of class $beta$ with full tangency to the boundary. Let $C_1$ and $C_2$ be rational curves fully tangent to $D$ at the same point $P$ and assume that $C_1$ and $C_2$ are immersed and that $(C_1.C_2)_P=min{D.C_1, D.C_2}$. Then we show that the contribution of $C_1cup C_2$ to the virtual count of $mathfrak{M}_{[C_1]+[C_2]}$ is $min{D.C_1, D.C_2}$. As an example, we describe genus $0$ relative stable morphisms to $(mathbb{P}^2, (hbox{cubic}))$ of degree $4$ with full tangency, and examine how they contribute to the relative Gromov-Witten invariant." @default.
- W2769059413 created "2017-12-04" @default.
- W2769059413 creator A5006967707 @default.
- W2769059413 date "2017-11-22" @default.
- W2769059413 modified "2023-09-27" @default.
- W2769059413 title "On the multiplicity of reducible relative stable morphisms" @default.
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