The Abel–Jacobi Map for Real Hyperelliptic Surfaces of Genus 3
Matematičeskie zametki, Tome 75 (2004) no. 5, pp. 643-651
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We consider the degrees of the Abel–Jacobi maps for real hyperelliptic surfaces of genus 2 and 3. The restrictions of the maps to the symmetric square and the symmetric cube, respectively, of the real locus of the given Riemann surface are studied.
[1] Krasnov V. A., “Otobrazhenie Albaneze dlya veschestvennykh algebraicheskikh mnogoobrazii”, Matem. zametki, 32:3 (1982), 365–374 | MR | Zbl
[2] Krasnov V. A., “Otobrazhenie Albaneze dlya GMZ-mnogoobrazii”, Matem. zametki, 35:5 (1984), 739–747 | MR | Zbl
[3] Griffits F., Kharris Dzh., Printsipy algebraicheskoi geometrii, T. I, Mir, M., 1982
[4] Mumford D., Curves and their Jacobians, Univ. Michigan Press, Ann Arbor, 1975 | Zbl