科研之友
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摘要
Let C subset of Pg-1 be a canonically embedded nonsingular nonhyperelliptic curve of genus g and let X subset of Pg-1 be a quadric containing C. Our main result states among other things that the Hilbert scheme of X is at [C subset of X] a local complete intersection of dimension g(2) - 1 and is smooth when X is. It also includes the assertion that the minimal obstruction space for this deformation problem is in fact the full associated Ext (l) -group and that in particular the deformations of C in X are obstructed in case C meets the singular locus of X. Applications will be given in a forthcoming paper.
- 出版日期2020-1
- 单位清华大学
