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Here we introduce the concept of special effect varieties in higher dimension and we generalize to Pn, n ≥ 3, the two conjectures given in [2] for the planar case. Finally, we propose some examples on the product of projective spaces and we show how these results fit with the ones of Catalisano, Geramita and Gimigliano.
@article{Bocci2005, abstract = {Here we introduce the concept of special effect varieties in higher dimension and we generalize to Pn, n ≥ 3, the two conjectures given in [2] for the planar case. Finally, we propose some examples on the product of projective spaces and we show how these results fit with the ones of Catalisano, Geramita and Gimigliano.}, author = {Bocci, Cristiano}, journal = {Collectanea Mathematica}, keywords = {Geometría algebraica; Sistemas lineales; Divisores; Espacio proyectivo; linear systems; multiple points; fat poins; Hilbert function}, language = {eng}, number = {3}, pages = {299-326}, title = {Special effect varieties in higher dimension.}, url = {http://eudml.org/doc/41833}, volume = {56}, year = {2005}, }
TY - JOUR AU - Bocci, Cristiano TI - Special effect varieties in higher dimension. JO - Collectanea Mathematica PY - 2005 VL - 56 IS - 3 SP - 299 EP - 326 AB - Here we introduce the concept of special effect varieties in higher dimension and we generalize to Pn, n ≥ 3, the two conjectures given in [2] for the planar case. Finally, we propose some examples on the product of projective spaces and we show how these results fit with the ones of Catalisano, Geramita and Gimigliano. LA - eng KW - Geometría algebraica; Sistemas lineales; Divisores; Espacio proyectivo; linear systems; multiple points; fat poins; Hilbert function UR - http://eudml.org/doc/41833 ER -
