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Cohomological rigidity via deformation theory. (arXiv:1710.03404v1 [math.AG])
来源于:arXiv
We formalize the intuition that cohomologically rigid overconvergent
isocrystals on dense affine open subsets of the projective line over a perfect
field of positive characteristic are the ones with no nontrivial infinitesimal
deformations that preserve the Robba fibers. En route, we describe a general
result showing that the Hochschild cochain complex governs deformations of
modules over arbitrary associative algebras in characteristic 0, and we explain
a relationship between the Hochschild cochain complex and the de Rham complex. 查看全文>>