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On flexes of the Kummer variety (Note on a theorem of R. C. Gunning)
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Abstract
In his paper (3), R.C. Gunning has given a new characterization of Jacobi
varieties among all princlpally polarized aballan varieties, by using trisecants
of the associated Kummer variety. The present paper is motivated by the
llnk between Gunning’s results and the -as yet unanswered- question about the
Novikov Hypothesis. Our main statement is Theorem (3.1), which ia just a more
general versión of the key result of [3], allowing also limit cases of the
original assumptions. Section 3 is devoted to the proof of this statement. In
particular, one obtains similar characterizations of jacobians by means of
flexes instead of trisecants (cf Section 1).
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Preprint enviat per a la seva publicació en una revista científica: Indagationes Mathematicae,1983, volume 86, num. 4, pp. 501-520. [https://doi.org/10.1016/S1385-7258(83)80027-4]
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WELTERS, G. E. (Gerald E.). On flexes of the Kummer variety (Note on a theorem of R. C. Gunning). [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/151421