تقرير
Projective structures and Hodge theory
| العنوان: | Projective structures and Hodge theory |
|---|---|
| المؤلفون: | Causin, Andrea, Pirola, Gian Pietro |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 14H10, 53B10, 14K20, 14H40 |
| الوصف: | Every compact Riemann surface $X$ admits a natural projective structure $p_u$ as a consequence of the uniformization theorem. In this work we describe the construction of another natural projective structure on $X$, namely the Hodge projective structure $p_h$, related to the second fundamental form of the period map. We then describe how projective structures correspond to $(1,1)$-differential forms on the moduli space of projective curves and, from this correspondence, we deduce that $p_u$ and $p_h$ are not the same structure. Comment: This paper is based on the plenary conference "Strutture proiettive e teoria di Hodge" given by the second author at the XXII Congress of the "Unione Matematica Italiana", held in Pisa in September 5, 2023 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.18122 |
| رقم الأكسشن: | edsarx.2405.18122 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |