An overview on curve semistable and numerically flat Higgs bundles
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| Định dạng: | artículo original |
| Trạng thái: | Versión publicada |
| Ngày xuất bản: | 2026 |
| Miêu tả: | After recalling the basic notions concerning Higgs-Grassmann schemes, we review how these can be used to define generalisations of the notion of positivity conditions, such as numerical flatness, which “feel” the Higgs field. Then we prove several properties of Higgs bundles over smooth projective varieties defined over an algebraically closed field of characteristic 0, satisfying these conditions. Finally, we discuss how one can relate them to semistability of the so-called “curve semistable” Higgs bundles. |
| Quốc gia: | Portal de Revistas UCR |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Ngôn ngữ: | Inglés |
| OAI Identifier: | oai:portal.revistas.ucr.ac.cr:article/4633 |
| Truy cập trực tuyến: | https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/4633 |
| Từ khóa: | Higgs bundles Curve semistability Numerically flatness Positivity conditions Fibrados de Higgs Semiestabilidad de curvas Numéricamente plano Nociones de positividad |