Companion varieties for root systems and Fermat arrangements
| العنوان: | Companion varieties for root systems and Fermat arrangements |
|---|---|
| المؤلفون: | Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Miró-Roig, Tomasz Szemberg, Justyna Szpond |
| المساهمون: | DI GENNARO, Roberta, Ilardi, Giovanna, Maria Miró-Roig, Rosa, Szemberg, Tomasz, Szpond, Justyna |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Algebra and Number Theory, FOS: Mathematics, Algebraic Geometry (math.AG), 13A15, 13C70, 14C20, 14E05, 14J70, 14N20 |
| الوصف: | Unexpected hypersurfaces are a brand name for some special linear systems. They were introduced around 2017 and are a field of intensive study since then. They attracted a lot of attention because of their close tights to various other areas of mathematics including vector bundles, arrangements of hyperplanes, geometry of projective varieties. Our research is motivated by the what is now known as the BMSS duality, which is a new way of deriving projective varieties out of already constructed. The last author coined the concept of companion surfaces in the setting of unexpected curves admitted by the $B_3$ root system. Here we extend this construction in various directions. We revisit the configurations of points associated to either root systems or to Fermat arrangements and we study the geometry of the associated varieties and their companions. Revised version following advices by the referees. Accepted for publication in JPAA |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e266b6dc5cc857f86ecbac7e817c248d http://hdl.handle.net/11588/867949 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....e266b6dc5cc857f86ecbac7e817c248d |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |