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

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发表于 2025-3-21 18:02:14 | 显示全部楼层 |阅读模式
书目名称Hadamard Products of Projective Varieties
编辑Cristiano Bocci,Enrico Carlini
视频video
概述Provides a comprehensive review of the rapidly expanding field of Hadamard product of projective varieties.Deals with an emerging field of research with high impact in various fields.Outlines a new ap
丛书名称Frontiers in Mathematics
图书封面Titlebook: Hadamard Products of Projective Varieties;  Cristiano Bocci,Enrico Carlini Book 2024 The Editor(s) (if applicable) and The Author(s), under
描述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 a
出版日期Book 2024
关键词Commutative Algebra; Hadamard Products; Tropical Geometry; Projective Geometry; Algebraic Statistics
版次1
doihttps://doi.org/10.1007/978-3-031-54263-3
isbn_softcover978-3-031-54262-6
isbn_ebook978-3-031-54263-3Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Book 2024m 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 c
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https://doi.org/10.1007/978-3-031-54263-3Commutative Algebra; Hadamard Products; Tropical Geometry; Projective Geometry; Algebraic Statistics
发表于 2025-3-23 01:03:20 | 显示全部楼层
Volodymyr Pugachov,Nikolay Pugachovrd products, and then we describe the main tools, such as Hadamard transformations, and some basic results, such as Hadamard–Terracini Lemma, that we will use in the whole book. In this chapter, we also consider the Hadamard product of ideals proving some relevant results related to Gröbner bases.
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Delineating the Boundaries of Discourse,near spaces: Points can have many zero coordinates, and linear spaces can intersect coordinate hyperplanes in dimension greater than the expected one. These facts force us to study all possible pathological behaviours that can occur when computing the Hadamard product of such varieties.
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