His topics include varieties over arbitrary fields, faithfully flat descent, algebraic groups,
cohomological obstructions to rational points, and surfaces.
These fermionic and bosonic symmetries (and corresponding charges) provide the physical realizations of the de Rham
cohomological operators of differential geometry whereas discrete symmetry plays the role of Hodge duality (*) operation (see, e.g., [16-18] for details).
A kind of Borsuk-Ulam type theorems consists in estimating the
cohomological dimension of the set A(f,H, G).
Now, we state a
cohomological criterion for k-summability of formal series with coefficients in Banach spaces (see [25], p.
(1) Any principal homogeneous space (torsor) under a connected linear algebraic group G defined over k, which satisfies the
cohomological Hasse principle over each global subfield contained in k.
Application On the
cohomological coprimality of Jerome Tomagan DIMABAYAO Galois representations associated with Communicated by Heisuke elliptic curves HIRONAKA, M.J.A.
They cover Stark's conjecture, the Birch and Swinnerton-Dyer conjecture, and analytic and
cohomological methods.
Brion, Lectures on the geometry of flag varieties, in Topics in
cohomological studies of algebraic varieties, Trends Math., Birkhauser, Basel, 2005, pp.
Pure spinor superfields were developed with the purpose of covariant quantization of superstrings by Berkovits [4-7] and the
cohomological structure was independently discovered in supersymmetric field theory and supergravity, originally in the context of higher-derivative deformations [8-17].