Pencils of quadrics and Gromov–Witten–Welschinger invariants of $$mathbb {C}P^3$$CP3
Pencils of quadrics and Gromov–Witten–Welschinger invariants of $$mathbb {C}P^3$$CP3
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二次曲线铅笔和 $$mathbb {C}P^3$$CP3 的 Gromov–Witten–Welschinger 不变量
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发表时间：
2015
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影响因子：
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通讯作者：
Penka V. Georgieva
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文献类型：
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作者：
E. Brugallé;Penka V. Georgieva
建立了具有混合实点约束和共轭点约束的$$mathbb {C}P^3$$ CP3的Gromov-Witten-Welschinger不变量的公式。该方法是基于J. Kollár的建议，即考虑二次曲线的铅笔，可以用$$mathbb {C}P^1 imes mathbb {C}P^1$$ CP1×CP1的枚举不变量和椭圆曲线的枚举不变量计算$$mathbb {C}P^3$$ CP3的一些实数和复数枚举不变量。
We establish a formula for the Gromov–Witten–Welschinger invariants of $$mathbb {C}P^3$$CP3 with mixed real and conjugate point constraints. The method is based on a suggestion by J. Kollár that, considering pencils of quadrics, some real and complex enumerative invariants of $$mathbb {C}P^3$$CP3 could be computed in terms of enumerative invariants of $$mathbb {C}P^1 imes mathbb {C}P^1$$CP1×CP1 and of elliptic curves.