Non-classical trigonal curves

✍ Scribed by Renata Rosa

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 143 KB
• Volume: 225
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1999.8131

✦ Synopsis

We study trigonal Gorenstein curves of arithmetic genus g ≥ 5 such that g 1 3 has a base point, through realizing them as canonical curves lying over a cone. Using an explicit description of such curves we compute the dimension of their moduli spaces. We also investigate non-classical trigonal Gorenstein curves; in fact, we give a complete classification of such curves for arithmetic genus g = 5. More generally, we classify the non-classical curves when the characteristic of the constant field is g -1, g -2, or 2g -3. In characteristic 2 we also solve the case g = 2 n + 1.