منابع مشابه
Quotients of Functors of Artin Rings
One of the fundamental problems in the study of moduli spaces is to give an intrinsic characterisation of representable functors of schemes, or of functors that are quotients of representable ones of some sort. Such questions are in general hard, leading naturally to geometry of algebraic stacks and spaces (see [1, 3]). On the other hand, in infinitesimal deformation theory a classical criterio...
متن کاملRank functors and representation rings of quivers
To my wife Kelly. ii ACKNOWLEDGEMENTS I would like to thank, first and foremost, my advisor Harm Derksen for guiding me along the path to becoming a mathematical researcher. The many hours we spent in discussion and his creative suggestions were absolutely essential for completion of this project. I would also like to thank John Stembridge for reading this dissertation and for some helpful disc...
متن کاملArtin-Lang property for quasianalytic rings
We prove the Artin-Lang property for some subrings of the ring of smooth function germs at the origin of R2, such rings are for instance unions of quasianalytic Denjoy-Carleman classes. AMS Subject Classification: Prymary 26E10, 13J30; Secondary 14P15.
متن کاملMixed Artin–Tate motives over number rings
This paper studies Artin–Tate motives over bases S ⊂ Spec OF , for a number field F . As a subcategory of motives over S, the triangulated category of Artin–TatemotivesDATM(S) is generated by motives φ∗1(n), where φ is any finite map. After establishing the stability of these subcategories under pullback and pushforward along open and closed immersions, a motivic t-structure is constructed. Exa...
متن کاملHopf Pairings and Induction Functors over Rings
The so called induction functors appear in several areas of Algebra in different forms. Interesting examples are the induction functors in the Theory of Affine Algebraic groups. In this note we investigate the so called Hopf pairings (bialgebra pairings) and use them to study induction functors for affine group schemes over arbitrary commutative ground rings. We present also a special type of H...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1968
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1968-0217093-3