Friedenberg, Netanel; Oneto, Alessandro; Williams, Robert L. Minkowski sums and Hadamard products of algebraic varieties. (English) Zbl 1390.14157 Smith, Gregory G. (ed.) et al., Combinatorial algebraic geometry. Selected papers from the 2016 apprenticeship program, Ottawa, Canada, July–December 2016. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-7485-6/hbk; 978-1-4939-7486-3/ebook). Fields Institute Communications 80, 133-157 (2017). Summary: 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 [B. Sturmfels, in: Combinatorial Algebraic Geometry, Fields Inst. Commun. 80, 1–19 (2017; Zbl 1390.14186)].For the entire collection see [Zbl 1387.14014]. Cited in 1 ReviewCited in 7 Documents MSC: 14M99 Special varieties 14N05 Projective techniques in algebraic geometry 14Q15 Computational aspects of higher-dimensional varieties 14R99 Affine geometry Citations:Zbl 1390.14186 Software:Macaulay2; SageMath PDFBibTeX XMLCite \textit{N. Friedenberg} et al., Fields Inst. Commun. 80, 133--157 (2017; Zbl 1390.14157) Full Text: DOI arXiv