Hadamard Products of Projective Varieties

Cristiano Bocci, Enrico Carlini

$133.95 $107.34

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Birkhauser Verlag AG
28 March 2024

Algebra; Geometry; Algebraic geometry; Maths for computer scientists

Series: Frontiers in Mathematics

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.

By: Cristiano Bocci, Enrico Carlini
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2024 ed.
Dimensions: Height: 240mm, Width: 168mm,
ISBN: 9783031542626
ISBN 10: 3031542622
Series: Frontiers in Mathematics
Pages: 243
Publication Date: 28 March 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Hadamard products.- Linear spaces.- Not generic cases in P2.- Grids and rulings.- Degenerate varieties.- Hypersurfaces.- Binomial varieties.- Hilbert functions.- Star configurations.- Gorenstein sets of points in P3.- Pure Commutative Algebra.- Open questions.

Cristiano Bocci is a full Professor in geometry at the Department of Information Engineering and Mathematics of the Università di Siena, Italy. His research interests focus on Algebraic Geometry, Combinatorial Commutative Algebra, Algebraic Statistics and Biomathematics. Enrico Carlini is a full Professor in geometry at the Department of Mathematical Sciences of the Politecnico di Torino, in Turin, Italy. His research interests focus on the interactions between Algebraic Geometry and Commutative Algebra and on their applications.

Reviews for Hadamard Products of Projective Varieties

“Cristiano Bocci and Enrico Carlini offer a detailed and much-needed exploration of the Hadamard products of algebraic varieties--a relatively underexplored area in algebraic geometry. Their monograph bridges a significant gap in the literature by focusing on how algebraic varieties can be constructed through operations other than the traditional vector summation, specifically through the Hadamard product. The book serves as an excellent resource for researchers interested in commutative algebra, algebraic geometry, and related fields.” (Wael Badawy, Computing Reviews, November 25, 2024)