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- W3014325245 abstract "In [4] we have showed that the Generalized Grothendieck's Period Conjecture applied to 1-motives, whose underlying semi-abelian variety is a product of elliptic curves and of tori, is equivalent to a transcendental conjecture involving elliptic integrals of the first and second kind, and logarithms of complex numbers. In this paper we investigate the Generalized Grothendieck's Period Conjecture in the case of a 1-motive M whose underlying semi-abelian variety is a non trivial extension of a product of elliptic curves by a torus. This will imply the introduction of elliptic integrals of the third kind for the computation of the periods of M and therefore the Generalized Grothendieck's Period Conjecture applied to M will be equivalent to a transcendental conjecture involving elliptic integrals of the first, second and third kind." @default.
- W3014325245 created "2020-04-10" @default.
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- W3014325245 date "2020-10-01" @default.
- W3014325245 modified "2023-09-30" @default.
- W3014325245 title "Third kind elliptic integrals and 1-motives" @default.
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- W3014325245 doi "https://doi.org/10.1016/j.jpaa.2020.106396" @default.
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