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Del Pezzo surfaces of degree 1 and Jacobians

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We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1.

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Correspondence to Yu. G. Zarhin.

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Supported by SFB 701 “Spektrale Strukturen und topologische Methoden in der Mathematik” (Fakultät für Mathematik der Universität Bielefeld).

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Zarhin, Y.G. Del Pezzo surfaces of degree 1 and Jacobians. Math. Ann. 340, 407–435 (2008). https://doi.org/10.1007/s00208-007-0157-4

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