Special linear systems and Weierstrass points on compact Riemann surfaces

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400141
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Yamaguchi University
• Principal Investigator: Kato Takao 山口大学, その他部局等, 名誉教授 (10016157)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 閉リーマン面 / 代数曲線 / gonality 列 / Weierstrass point

Outline of Final Research Achievements

One of main themes of the study of compact Riemann surfaces is a classification problem of Riemann surfaces by the existence of meromorphic functions on them and conformal invariants. We have studied this theme. We have gotten results concerning a relation between Weierstrass points with prescribed gap sequences and involutions of Riemann surfaces, a behavior of gonality sequences, in particular, violating the slope inequality of them, and a characterization of Riemann surfaces on which the Clifford index is computed maximally.

Free Research Field

数学