Variation of moduli spaces and Donaldson invariants under change of polarization

Variation of moduli spaces and Donaldson invariants under change of polarization
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极化变化下模空间和唐纳森不变量的变化

DOI:
10.1112/plms/s3-63.2.426
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发表时间:
1994
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
L. Gottsche
L. Gottsche
中科院分区:
--
文献类型:
--
作者:
G. Ellingsrud;L. Gottsche

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本文确定了$p_g=0$曲面上$2$阶轴在极化变化下模空间的变化以及相应的Donaldson不变量的变化。在这个修订版中,我们对以前的文本作了一些文体上的小改动。此外,我们还增加了大约20页的最后一章(在以前的版本中公布),其中使用点的Hilbert格式的上同调计算显式地计算了变化的六个最低阶项(其中三个非零)。
The paper determines the change of moduli spaces of rank $2$ sheaves on surfaces with $p_g=0$ under change of polarization and the corresponding change of the Donaldson invariants. In this revised version we have made some minor stylistic changes in the previous text. In addition we have added a final chapter of about 20 pages (announced in the previous version), in which the six lowest order terms (three of them non-zero) of the change are computed explicitely using computations in the cohomology of Hilbert schemes of points.
M.Maruyama:“抛物线稳定滑轮的模量”
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