Hilbert scheme of a pair of codimension two linear subspaces Export

@article{citeulike:5861207, abstract = {We study the component H\_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n \> 2. We show that H\_n is smooth and isomorphic to the blow-up of the symmetric square of G(n-2,n) along the diagonal. Further H\_n intersects only one other component in the full Hilbert scheme, transversely. We determine the stable base locus decomposition of its effective cone and give modular interpretations of the corresponding models, hence conclude that H\_n is a Mori dream space.}, archivePrefix = {arXiv}, author = {Chen, Dawei and Coskun, Izzet and Nollet, Scott}, citeulike-article-id = {5861207}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.5170}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.5170}, day = {28}, eprint = {0909.5170}, keywords = {hilbert, scheme}, month = {Sep}, posted-at = {2009-09-30 21:04:40}, priority = {2}, title = {Hilbert scheme of a pair of codimension two linear subspaces}, url = {http://arxiv.org/abs/0909.5170}, year = {2009} }

TY - JOUR ID - citeulike:5861207 L3 - citeulike-article-id:5861207 N2 - We study the component H_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n > 2. We show that H_n is smooth and isomorphic to the blow-up of the symmetric square of G(n-2,n) along the diagonal. Further H_n intersects only one other component in the full Hilbert scheme, transversely. We determine the stable base locus decomposition of its effective cone and give modular interpretations of the corresponding models, hence conclude that H_n is a Mori dream space. TI - Hilbert scheme of a pair of codimension two linear subspaces KW - hilbert KW - scheme AU - Chen, Dawei AU - Coskun, Izzet AU - Nollet, Scott PY - 2009/Sep/28/ UR - http://arxiv.org/abs/0909.5170 ER -