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The splitting pattern invariant can be interpreted in terms of the existence of certain cycles on various flag varieties associated to Q , and the motivic decomposition type can
Families of abelian varieties with a rank one degeneration We now assume that R is a complete discrete valuation ring with local parame- ter t , field of quotients K and
elements into no more than c nonempty sets is given by partial sums of Stirling numbers of second kind, we determined explicit formulas for their closed forms, as linear combinations
Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, to appear.. Mocanu, Second-order differential inequalities in
Namely, in connection with a theorem of Goldstern [4] concerning certain uncountable intersections of coanalytic sets with the full probability measure, we show that an analogous
The intersection of all semi-closed (resp. α -closed) sets contain- ing A is called the semi-closure (resp.. Recall also that a space ( X, τ ) is called extremally disconnected if
We investigate the existence of infinite dimensional Banach spaces having rigid sets with an infinite number of elements.. Among Banach lattices, examples are provided by
We first characterize the properly critical subsets of the real line and use this characterization to produce some properly critical subsets of the higher dimensional spaces, both