تقرير
Hodge theory of degenerations, (II): vanishing cohomology and geometric applications
| العنوان: | Hodge theory of degenerations, (II): vanishing cohomology and geometric applications |
|---|---|
| المؤلفون: | Kerr, Matt, Laza, Radu |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14D06, 14D07, 32S30 |
| الوصف: | We study the weighted spectrum and vanishing cohomology for several classes of isolated hypersurface singularities, and how they contribute to the limiting mixed Hodge structure of a smoothing. Applications are given to several types of singularities arising in KSBA and GIT compactifications and mirror symmetry, including nodes on odd-dimensional hypersurfaces, $k$-log-canonical and $k$-rational singularities, and singularities with Calabi-Yau tail. Comment: 43 pages, version to appear in "Current Developments in Hodge Theory" (Proceedings of Hodge Theory at IMSA) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.03953 |
| رقم الأكسشن: | edsarx.2006.03953 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |