Let S be the affine plane mathbb C2{mathbb C^2} together with an appropriate mathbb T = mathbb C*{mathbb T = mathbb C^*} action. Let S [m,m+1] be the incidence Hilbert scheme. Parallel to Li and Qin (2007, Incidence Hilbert schemes and infinite dimensional Lie algebras, Hangzhou), we construct an infinite dimensional Lie algebra that acts on the direct sum [(mathbb H)tilde]mathbb T = Åm=0+¥H2(m+1)mathbb T(S[m,m+1])widetilde {mathbb H}_{mathbb T} = bigoplus_{m=0}^{+infty}H^{2(m+1)}_{mathbb T}(S^{[m,m+1]})
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机译:令S为仿射平面mathbb C 2 sup> {mathbb C ^ 2}以及适当的mathbb T = mathbb C * sup> {mathbb T = mathbb C ^ *}动作。令S [m,m + 1] sup>为入射希尔伯特方案。与Li和Qin(2007,入射Hilbert方案和无穷维李代数,杭州)平行,我们构造了无穷维李代数,它作用于直接和[(mathbb H)tilde] mathbb T sub> = Å m = 0 sub> +¥ sup> H 2(m + 1) sup> mathbb T sub>(S [m ,m + 1] sup>)宽{{mathbb H} _ {mathbb T} = bigoplus_ {m = 0} ^ {+ infty} H ^ {2(m + 1)} _ {mathbb T}(S ^ {[m,m + 1]})
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