Canonical curves of genus eight
نویسنده
چکیده
Let C be a smooth complete algebraic curve of genus g and C2g−2 ⊂ Pg−1 the canonical model. It is generally difficult to describe its equations for higher genus. We restrict ourselves to the case of genus 8. If C has no g7, then C14 ⊂ P7 is a transversal linear section [G(2, 6) ⊂ P14] ∩H1 ∩ · · · ∩H7 of the 8-dimensional Grassmannian ([Muk2]). This is the case 〈8 〉 of the flowchart below. In this article we study the case where C has a g7 α. The system of defining equations of the canonical model is easily found from the following:
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