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The Brauer group and families of varieties
In this section we are interested in the following question. Let f : X→Y be a dominant morphism of regular integral varieties over a field k.
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A Note on Disjunction and Existence Properties in Predicate Extensions of Intuitionistic Logic—An Application of Jankov Formulas to Predicate Logics
Predicate extensions of intuitionistic logic (PEI’s) are intermediate predicate logics having the same propositional part as intuitionistic logic....
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Formal Kuranishi Families and Period Maps
After the results regarding coalgebras and \(L_{\infty }\)...
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Bifurcations of Zeros in Translated Families of Functions and Applications
In this paper, we study the creation of zeros in a certain type of families of functions. The families studied are given by the difference of two...
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Relative ideal classes of arbitrary order
We adapt a technique for searching for ideal classes of arbitrary order and apply it to three families of number fields. We show that a family of...
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Omitted Values and Normal Families
The center-piece of this chapter is the following remarkable result due to Friedrich Schottky: if f is holomorphic in ⅅ and assumes neither of the...
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Pairs of complementary transmission conditions for Brownian motion
Following our previous work on complementary boundary conditions, we write Cartesian product of two copies of a space of continuous functions on the...
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Sparsity for Holomorphic Functions
In Chap. 3 we introduced a concept of holomorphic extensions of countably-parametric families...
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Codimension two cycles in Iwasawa theory and tensor product of Hida families
The purpose of this paper is to build on results in higher codimension Iwasawa theory . The setting of our results involves Galois representations...
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Galois closures and elementary components of Hilbert schemes of points
Bhargava and the first-named author of this paper introduced a functorial Galois closure operation for finite-rank ring extensions, generalizing...
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On Compressions of Self-Adjoint Extensions of a Symmetric Linear Relation with Unequal Deficiency Indices
Let A be a symmetric linear relation in the Hilbert space ℌ with unequal deficiency indices n − A < n + ( A ). A self-adjoint linear relation
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An Approximation Algorithm for Random Generation of Capacities
Capacities on a finite set are sets functions vanishing on the empty set and being monotonic w.r.t. inclusion. Since the set of capacities is an...
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Compressed Resolvents, Schur Functions, Nevanlinna Families and Their Transformations
We study certain transformations of Nevanlinna families and Schur class operator-valued functions, construct their realizations by means of...