Quot schemes of quotients of a trivial bundle of arbitrary rank on a nonsingular projective surface X carry perfect obstruction theories and virtual fundamental classes whenever the quotient sheaf has at most 1-dimensional support. The associated generating series of virtual Euler characteristics was conjectured to be a rational function in Oprea and Pandharipande (in, Geom Topol. http://arxiv.org/abs/1903.08787) when X is simply connected. We conjecture here the rationality of more general descendent series with insertions obtained from the Chern characters of the tautological sheaf. We prove the rationality of descendent series in Hilbert scheme cases for all curve classes and in Quot scheme cases when the curve class is 0.

每当商层最多具有一维支持时，非奇异射影曲面X上任意秩的平凡束的商的报价方案都会带有完善的障碍理论和虚拟基本类。当简单地连接X时，在Oprea和Pandharipande（在Geom Topol。http://arxiv.org/abs/1903.08787中）中，虚拟的Euler特征的相关生成序列被认为是一个有理函数。我们在这里推测具有更广泛的后代序列的合理性，该序列具有从重言式捆的陈氏字符获得的插入性。我们证明了在希尔伯特方案案例中所有曲线类以及在报价方案案例中曲线类为0时后代序列的合理性。