تقرير
Unexpected hypersurfaces and their consequences: A Survey
| العنوان: | Unexpected hypersurfaces and their consequences: A Survey |
|---|---|
| المؤلفون: | Harbourne, Brian, Migliore, Juan, Nagel, Uwe |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 13C40, 14M05, 14M07, 14M10, 14N05, 14N20 |
| الوصف: | The notion of an unexpected curve in the plane was introduced in 2018, and was quickly generalized in several directions in a flurry of mathematical activity by many authors. In this expository paper we first describe some of the main results on unexpected hypersurfaces. Then we summarize two offshoots of this theory. First we look at sets of points in $\mathbb P^3$ whose general projection is a planar complete intersection (so-called {\it geproci} sets). Although we now know a lot about these sets, much remains mysterious. Then we describe an interesting measure of unexpectedness called {\it $AV$-sequences}, which have a surprising structure that is not yet fully understood. Comment: Submitted to the proceedings of the Cortona conference on The Strong and Weak Lefschetz Properties (September, 2022) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.13317 |
| رقم الأكسشن: | edsarx.2303.13317 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |