A study of linear systems on algebraic curves and its application for varieties of general type

(1)得到光滑平面曲线自同构群的一个分类。(2)与Akira Ohbuchi合作，对Hirzebruch曲面上曲线的自同构群进行了分类。(3)研究光滑平面四分体双覆盖的Weierstrass半群（与Jiryo Komeda合著）。(4)研究了代数曲线平面模型的最小度，得到了一些特殊曲线的分类（与Akira Ohbuchi合著）。(5)与Takao Kato和Akira Ohbuchi共同研究了包含不同不变量曲线的代数曲面上的线性系统。(6)研究了曲线在投影空间中的最小嵌入度。(7)与Akira Ohbuchi共同确定了小属曲线上最小度的铅笔数。

(1) We obtained a classification of automorphism groups of smooth plane curves.(2) We classified automorphism groups of curves on Hirzebruch surfaces (joint work with Akira Ohbuchi).(3) We studied Weierstrass semigroups of double coverings of smooth plane quartics (joint work with Jiryo Komeda).(4) We studied the minimal degree of plane models of algebraic curves and obtained a classification of some special curves (joint work with Akira Ohbuchi).(5) We studied linear systems on algebraic surfaces containing curves with different invariants (joint work with Takao Kato and Akira Ohbuchi).(6) We studied the minimal degree of embeddings of curves into projec tive spaces.(7) We determined the number of pencils of minimal degree on curves of small genus (joint work with Akira Ohbuchi).