In this note we give a historical account of the origin and the development of the concept of Weierstrass point. We also explain how Weierstrass points have contributed to the study of compact Riemann surfaces and algebraic curves in the century from Weierstrass’ statement of the gap theorem to the 1970s. In particular, we focus on the seminal work of H¨urwitz that raised questions which are at the center of contemporary research on this topic.
Weierstrass points and their impact in the study of algebraic curves: a historical account from the "Luckensatz" to the 1970s
DEL CENTINA, Andrea
2008
Abstract
In this note we give a historical account of the origin and the development of the concept of Weierstrass point. We also explain how Weierstrass points have contributed to the study of compact Riemann surfaces and algebraic curves in the century from Weierstrass’ statement of the gap theorem to the 1970s. In particular, we focus on the seminal work of H¨urwitz that raised questions which are at the center of contemporary research on this topic.File in questo prodotto:
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