Applications of Liaison

Migliore, Juan; Nagel, Uwe

doi:10.1007/978-3-030-89694-2_17

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2022

2024

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Cited by 2 publications

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“…We will make use of standard tools from linkage theory; see [25] for an overview of the topic and [15][16][17]22,24] for a partial list of papers which use liaison to study zero-dimensional projective and multiprojective schemes. A well-known result, see [23,Corollary 5.2.19], relates the h-vectors of two arithmetically Cohen-Macaulay schemes in P n with the same codimension, that are linked by an arithmetically Gorenstein scheme.…”

Section: Introductionmentioning

confidence: 99%

Rational Normal Curves and Hadamard Products

et al. 2022

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Given $$r>n$$ r > n general hyperplanes in $$\mathbb P^n,$$ P n , a star configuration of points is the set of all the n-wise intersection of the hyperplanes. We introduce contact star configurations, which are star configurations where all the hyperplanes are osculating to the same rational normal curve. In this paper, we find a relation between this construction and Hadamard products of linear varieties. Moreover, we study the union of contact star configurations on a same conic in $$\mathbb P^2$$ P 2 , we prove that the union of two contact star configurations has a special h-vector and, in some cases, this is a complete intersection.

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