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Associated Primes of Powers of Ideals Read chapter Read first chapter

2020 | OriginalPaper | Chapter

13. Unexpected Hypersurfaces

Authors : Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Published in: Ideals of Powers and Powers of Ideals

Publisher: Springer International Publishing

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Abstract

The notion of unexpected hypersurfaces is quite new; research on this topic is growing rapidly but an orderly unified perspective has not yet been achieved. The phenomenon itself can be defined succinctly, but the many examples of unexpectedness that are now known seem to arise in different ways, depending on specific properties available in each context (such as special properties of line arrangements, or of cones, or of characteristic p > 0). This currently makes presenting an exposition of reasonable length futile. Thus here we content ourselves with mostly just describing some of the ways unexpectedness arises, with pointers to the literature.

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Literature
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Th. Bauer, G. Malara, T. Szemberg, J. Szpond, Quartic unexpected curves and surfaces. Manuscript Math. (to appear). arXiv:1804.03610
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B. Harbourne, J. Migliore, U. Nagel, Z. Teitler, Unexpected hypersurfaces and where to find them. Mich. Math. J. (to appear). arXiv:1805.10626
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Metadata
Title
Unexpected Hypersurfaces
Authors
Enrico Carlini
Huy Tài Hà
Brian Harbourne
Adam Van Tuyl
Copyright Year
2020
Book
Ideals of Powers and Powers of Ideals

Print ISBN: 978-3-030-45246-9

Electronic ISBN: 978-3-030-45247-6

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-45247-6_13

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