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Minkowski sums and Hadamard products of algebraic varieties

Netanel Friedenberg 1 Alessandro Oneto 2 Robert Williams 3
1 Department of Mathematics [Yale University]
2 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , NKUA - National and Kapodistrian University of Athens
3 Rose-Hulman Institue of Technology
Abstract : We study Minkowski sums and Hadamard products of algebraic varieties. Specifically we explore when these are varieties and examine their properties in terms of those of the original varieties. This project was inspired by Problem 5 on Surfaces in [Fitness, Apprenticeship, and Polynomials, - B. Sturmfels, arXiv:1612.03539].
Keywords : projective varieties Hadamard products Minkowski sums
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Submitted on : Tuesday, September 19, 2017 - 1:55:11 PM
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Netanel Friedenberg, Alessandro Oneto, Robert Williams. Minkowski sums and Hadamard products of algebraic varieties. Smith G., Sturmfels B. Combinatorial Algebraic Geometry, 80, Springer, New York, NY, 2017, Fields Institute Communications, 978-1-4939-7486-3. ⟨10.1007/978-1-4939-7486-3_7⟩. ⟨hal-01590217⟩

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