Veech Groups and Translation Coverings

• Tác giả: Myriam Finster
• Ngôn ngữ: eng
• ISBN-13: 978-3731501800
• ISBN: KSP/1000038927
• Ký hiệu phân loại: 510 Mathematics
• Thông tin xuất bản: Karlsruhe : KIT Scientific Publishing, 2013
• Mô tả vật lý: 1 electronic resource (X, 136 p. p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 205581

Tóm tắt

A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgroups are the Veech group of a covering surface. We also address the coverings via their monodromy groups and present examples of cyclic coverings in short orbits, i.e. with large Veech groups.