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Adam-Christiaan van Roosmalen
Researcher at University of Hasselt
Publications - 30
Citations - 178
Adam-Christiaan van Roosmalen is an academic researcher from University of Hasselt. The author has contributed to research in topics: Serre duality & Derived category. The author has an hindex of 8, co-authored 30 publications receiving 151 citations. Previous affiliations of Adam-Christiaan van Roosmalen include Bielefeld University & University of Bonn.
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Abelian hereditary fractionally Calabi-Yau categories
TL;DR: In this article, a generalization of Calabi-Yau categories is proposed, where a k-linear hom-finite triangulated category is fractionally CalabiYau if it admits a Serre functor S and there is an n > 0 with S^n = [m].
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Abelian 1-Calabi-Yau Categories
TL;DR: In this article, all k-linear abelian 1-Calabi-Yau categories over an algebraically closed field k are derived equivalent to either the category of coherent sheaves on an elliptic curve, or to the finite dimensional representations of k.
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Localizations of one-sided exact categories
TL;DR: In this article, the authors introduce quotients of exact categories by percolating subcategories and show that these localizations induce Verdier localizations on the level of the bounded derived category.
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Derived categories of one-sided exact categories and their localizations
TL;DR: In this article, the Verdier quotient of an exact or one-sided exact category is constructed by a percolating subcategory, and it is shown that this quotient is compatible with several enhancements of the bounded derived category, so that the above Verdier localization can be used in the study of localizing invariants, such as non-connective $K$theory.
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On the obscure axiom for one-sided exact categories
TL;DR: One-sided exact categories are obtained via a weakening of a Quillen exact category as discussed by the authors, and the failure of the obscure axiom is controlled by the embedding of an exact category into its exact hull, which preserves the bounded derived category up to triangle equivalence.