Details:
Title  The Tgraph of a multigraded Hilbert scheme.  Author(s)  Milena Hering, Diane Maclagan  Type  Article in Journal  Abstract  The Tgraph of a multigraded Hilbert scheme records the zero and onedimensional orbits of the T=(K*) n action on the Hilbert scheme induced from the Taction on . It has vertices the Tfixed points, and edges the onedimensional Torbits. We give a combinatorial necessary condition for the existence of an edge between two vertices in this graph. For the Hilbert scheme of points in the plane, we give an explicit combinatorial description of the equations defining the scheme parameterizing all onedimensional torus orbits whose closures contain two given monomial ideals. For this Hilbert scheme we show that the Tgraph depends on the ground field, resolving a question of Altmann and Sturmfels.  Keywords  Hilbert schemes, torus actions, Gröbner bases  ISSN  10586458; 1944950X/e 
URL 
http://www.tandfonline.com/doi/abs/10.1080/10586458.2012.659569 
Language  English  Journal  Exp. Math.  Volume  21  Number  3  Pages  280297  Publisher  Taylor & Francis, Philadelphia, PA  Year  2012  Edition  0  Translation 
No  Refereed 
No 
