تقرير
On the smooth locus of aligned Hilbert schemes: the k-secant lemma and the general projection theorem
| العنوان: | On the smooth locus of aligned Hilbert schemes: the k-secant lemma and the general projection theorem |
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| المؤلفون: | Gruson, Laurent, Peskine, Christian |
| المصدر: | Duke Math. J. 162, no. 3 (2013), 553-578 |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14 |
| الوصف: | Let X be a smooth, connected, dimension n, quasi-projective variety imbedded in \PP_N. Consider integers {k_1,...,k_r}, with k_i>0, and the Hilbert Scheme H_{k_1,...,k_r}(X) of aligned, finite, degree \sum k_i, subschemes of X, with multiplicities k_i at points x_i (possibly coinciding). The expected dimension of H_{k_1,...,k_r}(X) is 2N-2+r-(\sum k_i)(N-n). We study the locus of points where H_{k_1,...,k_r}(X) is not smooth of expected dimension and we prove that the lines carrying this locus do not fill up \PP_N Comment: 17 pages, revised version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1215/00127094-2019817 |
| الوصول الحر: | http://arxiv.org/abs/1010.2399Test |
| رقم الانضمام: | edsarx.1010.2399 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1215/00127094-2019817 |
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