منابع مشابه
Splitting Varieties for Triple Massey Products
We construct splitting varieties for triple Massey products. For a, b, c ∈ F∗ the triple Massey product 〈a, b, c〉 of the corresponding elements of H(F, μ2) contains 0 if and only if there is x ∈ F∗ and y ∈ F[ √ a, √ c]∗ such that bx = NF[a,c]/F(y), where NF[ √ a, √ c]/F denotes the norm, and F is a field of characteristic different from 2. These varieties satisfy the Hasse principle by a result...
متن کاملMassey Products and Deformations
It is common knowledge that the construction of one-parameter deformations of various algebraic structures, like associative algebras or Lie algebras, involves certain conditions on cohomology classes, and that these conditions are usually expressed in terms of Massey products, or rather Massey powers. The cohomology classes considered are those of certain differential graded Lie algebras (DGLA...
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In this paper we use cup-products and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1-form in a given cohomology class.
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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.
متن کاملTriple Massey Products on Curves, Fay’s Trisecant Identity and Tangents to the Canonical Embedding
We show that Fay’s trisecant identity follows from the A∞-constraint satisfied by certain triple Massey products in the derived category of coherent sheaves on a curve. We also deduce the matrix analogue of this identity that can be conveniently formulated using quasideterminants of matrices with non-commuting entries. On the other hand, looking at more special Massey products we derive a formu...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2017
ISSN: 1435-9855
DOI: 10.4171/jems/665