On complete intersections containing a linear subspace
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DOI: 10.1007/s10711-019-00452-2
Abstract: Consider the Fano scheme $$F_k(Y)$$ F k ( Y ) parameterizing k -dimensional linear subspaces contained in a complete intersection $$Y \subset \mathbb {P}^m$$ Y ⊂ P m of multi-degree $$\underline{d} = (d_1, \ldots ,… read more here.
Keywords: intersections containing; containing linear; linear subspace; complete intersections ... See more keywords
Zero-dimensional complete intersections and their linear span in the Veronese embeddings of projective spaces
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DOI: 10.1007/s40065-018-0221-9
Abstract: Let $$\nu _{d,n}: \mathbb {P}^n\rightarrow \mathbb {P}^r$$νd,n:Pn→Pr, $$r=\left( {\begin{array}{c}n+d\\ n\end{array}}\right) $$r=n+dn, be the order d Veronese embedding. For any $$d_n\ge \cdots \ge d_1>0$$dn≥⋯≥d1>0 let $$\check{\eta }(n,d;d_1,\ldots ,d_n)\subseteq \mathbb {P}^r$$ηˇ(n,d;d1,…,dn)⊆Pr be the union of all linear… read more here.
Keywords: intersections linear; dimensional complete; complete intersections; check eta ... See more keywords
Minimal Resolutions Over Codimension 2 Complete Intersections
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DOI: 10.1007/s40306-018-0293-9
Abstract: We construct an explicit free resolution T for a maximal Cohen-Macaulay module M over a local complete intersection of codimension 2 with infinite residue field. The resolution is minimal when the module M is a… read more here.
Keywords: resolution; codimension; complete intersections; minimal resolutions ... See more keywords
The Stanley regularity of complete intersections and ideals of mixed products
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DOI: 10.1142/s0219498817501225
Abstract: Let S be a polynomial ring over a field k and L ⊆ S a monomial ideal. We give some inequalities on Stanley regularity of monomial ideals. As consequences, we prove that sregS(S/L) ≤regS(S/L) and… read more here.
Keywords: complete intersections; stanley regularity; mixed products; regularity complete ... See more keywords
A weak Lefschetz result for Chow groups of complete intersections
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DOI: 10.4153/s0008439520001022
Abstract: Abstract We introduce a weak Lefschetz-type result on Chow groups of complete intersections. As an application, we can reproduce some of the results in [P]. The purpose of this paper is not to reproduce all… read more here.
Keywords: chow groups; complete intersections; result chow; weak lefschetz ... See more keywords