Hadamard Products of Projective Varieties
Bocci, Cristiano, Carlini, Enrico
Produktnummer:
18e562cc702e7f4ec4b6aa434648760bc9
Autor: | Bocci, Cristiano Carlini, Enrico |
---|---|
Themengebiete: | Algebraic Statistics Commutative Algebra Hadamard Products Projective Geometry Tropical Geometry |
Veröffentlichungsdatum: | 28.03.2024 |
EAN: | 9783031542626 |
Sprache: | Englisch |
Seitenzahl: | 243 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Hadamard Products of Projective Varieties"
This monograph deals with the Hadamard products of algebraic varieties. A typical subject of study in Algebraic Geometry are varieties constructed from other geometrical objects. The most well-known example is constituted by the secant varieties, which are obtained through the construction of the join of two algebraic varieties, which, in turn, is based on the operation of summing two vectors. However, other constructions are possible through a change of the basic operation. One remarkable case is based on the Hadamard product of two vectors. While secant varieties of algebraic varieties have been studied extensively and systematically, the same is not yet true for the Hadamard products of algebraic varieties. This monograph aims to bridge this gap in the literature.The topic is presented in a self-contained manner, and it is accessible to all readers with sound knowledge of Commutative Algebra and Algebraic Geometry. Both experienced researchers and students can profit from this monograph, which will guide them through the subject. The foundational aspects of the Hadamard products of algebraic varieties are covered and some connections both within and outside Algebraic Geometry are presented. The theoretical and algorithmic aspects of the subject are considered to demonstrate the effectiveness of the results presented. Thus, this monograph will also be useful to researchers in other fields, such as Algebraic Statistics, since it provides several algebraic and geometric results on such products.

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