Massey products and elliptic curves
نویسندگان
چکیده
We study the vanishing of Massey products order at least 3 for absolutely irreducible smooth projective curves over a field with coefficients in Z / ℓ $\mathbb {Z}/\ell$ . mainly focus on elliptic curves, which we obtain complete characterization when triple do not vanish.
منابع مشابه
Massey and Fukaya Products on Elliptic Curves
This note is a continuation of [6]. Its goal is to show that some higher Massey products on elliptic curve can be computed as higher compositions in Fukaya category of the dual symplectic torus in accordance with the homological mirror conjecture of M. Kontsevich [4]. Namely, we consider triple Massey products of very simple type which are uniquely defined, compute them in terms of theta-functi...
متن کاملAppendix and erratum: ‘Massey products for elliptic curves
The paper [6] contains a few errors in the basic assumptions as well as in the formula of corollary 0.2. First of all, it should have been made clear at the outset that the regular model E for the elliptic curve E must be the minimal regular model, and X the complement of the origin in the regular minimal model. Similarly, the tangential base-point b must be integral, in that it is a Z−basis of...
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The author must begin with an apology for writing on a topic so specific, so elementary, and so well-understood as the study of elliptic curves of rank 1. Nevertheless, it is hoped that a contribution not entirely without value or novelty is to be found within the theory of Selmer varieties for hyperbolic curves, applied to the complement X = E \ {e} of the origin inside an elliptic curve E ove...
متن کاملAppendix and Erratum to “massey Products for Elliptic Curves of Rank 1”
The paper [6] contains a few errors in the basic assumptions as well as in the formula of Corollary 0.2. First of all, it should have been made clear at the outset that the regular model E for the elliptic curve E must be the minimal regular model, and X the complement of the origin in the regular minimal model. Similarly, the tangential base-point bmust be integral, in that it is a Z-basis of ...
متن کاملUniversal Triple Massey Products on Elliptic Curves and Hecke’s Indefinite Theta Series
Generalizing [10] we express universal triple Massey products between line bundles on elliptic curves in terms of Hecke’s indefinite theta series. We show that all Hecke’s indefinite theta series arise in this way. 2000 Math. Subj. Class. Primary 14H52; Secondary 55S30.
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ژورنال
عنوان ژورنال: Proceedings of The London Mathematical Society
سال: 2023
ISSN: ['1460-244X', '0024-6115', '1234-5678']
DOI: https://doi.org/10.1112/plms.12541