تقرير
F-blowups and essential divisors for toric varieties
| العنوان: | F-blowups and essential divisors for toric varieties |
|---|---|
| المؤلفون: | Chávez-Martínez, Enrique, Duarte, Daniel, Yasuda, Takehiko |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14E15, 14M25, 14B10 |
| الوصف: | We investigate the relation between essential divisors and F-blowups, in particular, address the problem whether all essential divisors appear on the $e$-th F-blowup for large enough $e$. Focusing on the case of normal affine toric varieties, we establish a simple sufficient condition for a divisor over the given toric variety to appear on the normalized limit F-blowup as a prime divisor. As a corollary, we show that if a normal toric variety has a crepant resolution, then the above problem has a positive answer, provided that we use the notion of essential divisors in the sense of Bouvier and Gonzalez-Sprinberg. We also provide an example of toric threefold singularities for which a non-essential divisor appears on an F-blowup. Comment: 24 pages. v2: minor revision, v3: fixed errors that was pointed out by a referee and based on confusion about several notions of essential divisors, v4: modified the definition of ciritical arrows, added some descriptions to help understanding of the discussion |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.13247 |
| رقم الأكسشن: | edsarx.2304.13247 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |