학과 세미나 및 콜로퀴엄
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The syzygy scheme is the scheme defined by the quadric forms associated to the linear syzygies of certain order of a given scheme. It is natural to ask whether the syzygy scheme is equal to the scheme itself. In this talk, I will discuss about the classification of the second syzygy schemes for 4-gonal canonical curves of genus at least 6. This talk is based on the work by Aprodu-Bruno-Sernesi.