تقرير
Towards the Doran-Harder-Thompson conjecture via the Gross-Siebert program
| العنوان: | Towards the Doran-Harder-Thompson conjecture via the Gross-Siebert program |
|---|---|
| المؤلفون: | Barrott, Lawrence J., Doran, Charles F. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematical Physics |
| الوصف: | The Doran-Harder-Thompson "gluing/splitting" conjecture unifies mirror symmetry conjectures for Calabi-Yau and Fano varieties, relating fibration structures on Calabi-Yau varieties to the existence of certain types of degenerations on their mirrors. This was studied for the case of Calabi-Yau complete intersections in toric varieties by Doran, Kostiuk and You for the Hori-Vafa mirror construction. In this paper we prove one direction of the conjecture using a modified version of the Gross-Siebert program. This involves a careful study of the implications within tropical geometry and applying modern deformation theory for singular Calabi-Yau varieties. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2105.02617 |
| رقم الأكسشن: | edsarx.2105.02617 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |