Titlebook: Hadamard Products of Projective Varieties; Cristiano Bocci,Enrico Carlini Book 2024 The Editor(s) (if applicable) and The Author(s), under

幼稚

Fluctuate

Issues Arising from Euro-Bank Experience,The Hadamard product of two hypersurfaces is, in general, the whole ambient space. However, there are cases in which this product is again a hypersurface.

脊椎動(dòng)物

https://doi.org/10.1007/978-1-4615-5213-0The natural generalization of the notion of binomial hypersurface of the previous chapter is the one of binomial variety: that is, a variety whose associated ideal is a binomial ideal. In this chapter we study binomial varieties and their Hadamard products.

epidermis

https://doi.org/10.1007/978-94-007-5158-3In this chapter, we will describe some connections among the Hilbert functions of ., . and .. However, a complete description of these connections is not known yet. In this chapter, we focus our attention on linear spaces, collinear points, degenerate varieties, and binomial varieties.

inflame

Evolution of Delinquent Gangs in RussiaIn this chapter, we give a relevant application of the Hadamard powers of a line: Theorem 9.1shows how to naturally construct star configurations using Hadamard products. The interest in star configurations has recently increased because of their extremal behaviour with respect to many open problems such as, for example, symbolic powers of ideals.

恭維

創(chuàng)作

Grids and Rulings,In the previous chapter, we studied the behaviour of the Hadamard product of points and lines without any genericity assumption. We will now investigate the Hadamard product . of two sets of collinear points . and . lying on two lines . and .. Thus we will combine the genericity and the non-genericity.

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Customary

Hypersurfaces,The Hadamard product of two hypersurfaces is, in general, the whole ambient space. However, there are cases in which this product is again a hypersurface.

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