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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].

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
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