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Seminar of Algebraic Geometry in East Asia
 
10:15 - 11:15, September 10, 2021 (Friday)
broadcast in Room 515, Cosmology Bldg., Online seminar
(線上演講 於次震宇宙館515教室直播/收播)
Symplectic and Orthogonal Hecke Curves
Insong Choe (Konkuk University)

Abstract:

A Hecke curve is a rational curve on the moduli space of vector bundles over an algebraic curve, constructed by using the Hecke transformation. The Hecke curves played an important role in Jun-Muk Hwang's works on the geometry of . Later, Xiaotao Sun proved that they have the minimal degree among the rational curves passing through a general point. We construct rational curves on the moduli spaces of symplectic and orthogonal bundles by using symplectic/orthogonal versions of Hecke transformation. It turns out that the symplectic Hecke curves are special kind of Hecke curves, while the orthogonal Hecke curves have degree , where is the degree of Hecke curves. Also we show that those curves have the minimal degree among the rational curves passing through a general point. This is a joint work with Kiryong Chung and Sanghyeon Lee.
 
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