منابع مشابه
Zero - Dimensional Schemes †
This paper is a natural continuation of Abbott et al. (2000) further generalizing the Buchberger-Möller algorithm to zero-dimensional schemes in both affine and projective spaces. We also introduce a new, general way of viewing the problems which can be solved by the algorithm: an approach which looks to be readily applicable in several areas. Implementation issues are also addressed, especiall...
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A great deal of recent activity has centered on the question of whether, for a given Hilbert function, there can fail to be a unique minimum set of graded Betti numbers, and this is closely related to the question of whether the associated Hilbert scheme is irreducible or not. We give a broad class of Hilbert functions for which we show that there is no minimum, and hence that the associated Hi...
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The moduli spaces of semistable torsion-free sheaves with c 1 = 0 and c 2 = ?2 and ?3 over a principally polarised complex torus are described explicitly in terms of zero-dimensional subschemes of the torus. The boundary structures are computed in detail. The rst moduli space is a compactiied family of Jacobians and the second is a Hilbert scheme. In this paper we shall show how detailed inform...
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In an earlier paper [KRS] we defined and investigated the properties of the näıve blowup of an integral projective scheme X at a single closed point. In this paper we extend those results to the case when one näıvely blows up X at any suitably generic zero-dimensional subscheme Z. The resulting algebra A has a number of curious properties; for example it is noetherian but never strongly noether...
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ژورنال
عنوان ژورنال: Sarajevo Journal of Mathematics
سال: 2014
ISSN: 1840-0655,2233-1964
DOI: 10.5644/sjm.10.2.01