Results 41 to 50 of about 116,933 (156)

The Picard group of the Burnside ring.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1985
Earlier work of the author and \textit{T. Petrie} [esp. in Publ. Math., Inst. Hautes Étud. Sci. 56, 129-170 (1982; Zbl 0507.57025)] showed the equivalence of a category of 'homotopy representations' of a finite group G to an algebraic version involving the Burnside ring of G and its Picard group, and motivated the study of finiteness obstructions in ...
openaire   +2 more sources

The Derived Picard Group is a Locally Algebraic Group [PDF]

open access: yesAlgebras and Representation Theory, 2004
Let A be a finite dimensional algebra over an algebraically closed field K. The derived Picard group DPic(A) is the group of two-sided tilting complexes over A modulo isomorphism. We prove that DPic(A) is a locally algebraic group, and its identity component is Out^0(A).
openaire   +2 more sources

Insight into the optimal control strategies on corruption dynamics using fractional order derivatives

open access: yesScientific African
The fractional-order design for conceptualizing corruption offers several advantages on the corruption spreading over the integer-order corruption models such as acknowledgement of the intricate dynamics of corruption, including corruption super ...
Shewafera Wondimagegnhu Teklu
doaj   +1 more source

Duality of Albanese and Picard 1-motives

open access: yes, 2001
We define Albanese and Picard 1-motives of smooth (simplicial) schemes over a perfect field. For smooth proper schemes, these are the classical Albanese and Picard varieties. For a curve, these are t he homological 1-motive of Lichtenbaum and the motivic
Ramachandran, Niranjan
core   +1 more source

On the Picard group scheme of the moduli stack of stable pointed curves

open access: yes, 2020
The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme.
Fringuelli, Roberto, Viviani, Filippo
core  

Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals

open access: yes, 1997
We study the Picard-Fuchs differential equations for the Seiberg-Witten period integrals in N=2 supersymmetric Yang-Mills theory. For A-D-E gauge groups we derive the Picard-Fuchs equations by using the flat coordinates in the A-D-E singularity theory ...
Ito, Katsushi, Yang, Sung-Kil
core   +2 more sources

Picard group of a connected affine algebraic group

open access: yesRussian Mathematical Surveys, 2023
Revised version emphasizing the canonical nature of the construction.
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The Picard Group of an Order and Külshammer Reduction [PDF]

open access: yesAlgebras and Representation Theory, 2020
AbstractLet $(K,\mathcal {O},k)$ ( K , O , k ) be a p-modular system and assume k is algebraically closed.
openaire   +6 more sources

Picard groups and class groups of monoid schemes

open access: yesJournal of Algebra, 2014
We define and study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations. The normalization of a monoid turns out to be a monoid scheme, but not always a monoid.
Flores, J., Weibel, C.
openaire   +3 more sources

Differential Galois Theory and Hopf Algebras for Lie Pseudogroups

open access: yesAxioms
According to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
doaj   +1 more source

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