Subcanonical points on algebraic curves
By: by Evan Merrill Bullock
Published: 2009
Language: eng
Number of pages: 36
Description: If C is a smooth, complete algebraic curve of genus g ≥ 2 over the complex numbers, a point p of C is subcanonical if K C [congruent with] [Special characters omitted.] ((2 g - 2) p ). We study the locus [Special characters omitted.] of pointed curves ( C, p ) where p is a subcanonical point of C. Subcanonical points are Weierstrass points, and we study their associated Weierstrass gap sequences. In particular, we find the Weierstrass gap sequence at a general point of each component of [Special characters omitted.] and construct subcanonical points with other gap sequences as ramification points of certain cyclic covers.
Notes: "May 2009."

Thesis (Ph.D., Dept. of Mathematics)--Harvard University, 2000.

Includes bibliographical references.