تقرير
Automorphisms of K3 surfaces, cyclotomic polynomials and orthogonal groups
| العنوان: | Automorphisms of K3 surfaces, cyclotomic polynomials and orthogonal groups |
|---|---|
| المؤلفون: | Bayer-Fluckiger, Eva |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Number Theory |
| الوصف: | Let X be a complex projective K3 surface, and let T(X) be its transcendental lattice; the characteristic polynomials of the isometries of T(X) induced by automorphisms of X are powers of cyclotomic polynomials. Which powers of cyclotomic polynomials occur ? The aim of this note is to answer this question, as well as related ones, and give an alternative approach to some results of Kondo, Machida, Oguiso, Vorontsov, Xiao and Zhang; this leads to questions and results concerning orthogonal groups of lattices. Comment: To appear in Eur. J. Math |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.10995 |
| رقم الأكسشن: | edsarx.2305.10995 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |