The T-Graph of a Multigraded Hilbert Scheme
نویسندگان
چکیده
منابع مشابه
The T-Graph of a Multigraded Hilbert Scheme
The T -graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the T = (K∗)n action on the Hilbert scheme induced from the T -action on A. It has vertices the T -fixed points, and edges the onedimensional T -orbits. 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 pla...
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We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hilbert function in a polynomial ring that is graded by any abelian group. Our construction is widely applicable, it provides explicit equations, and it allows us to prove a range of new results, including Bayer’s conjecture on equations defining Grothendieck’s classical Hilbert scheme and the cons...
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A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing the computations. In a particular case, the algorithm may also be easily adapted for computing the Stanley depth of the module. We further present interesting examples which were found with the help of an experimental ...
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2012
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2012.659569