Invariants of complex and p-adic origami-curves

• Tác giả: Karsten Kremer
• Ngôn ngữ: eng
• ISBN-13: 978-3866444829
• ISBN: KSP/1000015949
• Ký hiệu phân loại: 515.93 Functions of one complex variable
• Thông tin xuất bản: Karlsruhe : KIT Scientific Publishing, 2010
• Mô tả vật lý: 1 electronic resource (VI, 74 p. p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 229060

Tóm tắt

Origamis (also known as square-tiled surfaces) are Riemann surfaces which are constructed by glueing together finitely many unit squares. By varying the complex structure of these squares one obtains easily accessible examples of Teichmüller curves in the moduli space of Riemann surfaces.Different Teichmüller curves can be distinguished by several invariants, which are explicitly computed. The results are then compared to a p-adic analogue where Riemann surfaces are replaced by Mumford curves.