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Characterizing Jacobians via trisecants of the Kummer variety

I. M. Krichever

Annals of Mathematics · 2010 · 35 citations · 21 references

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Abstract

Jacobian of a curve if and only if there exists a trisecant of its Kummer variety K.X /.

References

21

The irreducibility of the space of curves of given genus

Pierre Deligne · Publications mathématiques de l IHÉS · 1969 · 1.8K citations · Full text

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Faisceaux Algebriques Coherents

Jean-Pierre Serre · Annals of Mathematics · 1955 · 745 citations

METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

I. M. Krichever · Russian Mathematical Surveys · 1977 · 523 citations

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Integration of nonlinear equations by the methods of algebraic geometry

I. M. Krichever · Functional Analysis and Its Applications · 1977 · 410 citations

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Characterization of Jacobian varieties in terms of soliton equations

Takahiro Shiota · Inventiones mathematicae · 1986 · 319 citations

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