Results 1 to 10 of about 11,985 (187)
Specialization orders on atom spectra of Grothendieck categories [PDF]
We introduce systematic methods to construct Grothendieck categories from colored quivers and develop a theory of the specialization orders on the atom spectra of Grothendieck categories.
Kanda, Ryo
core +1 more source
The moduli space of matroids [PDF]
In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
core +2 more sources
Noetherianity up to symmetry [PDF]
These lecture notes for the 2013 CIME/CIRM summer school Combinatorial Algebraic Geometry deal with manifestly infinite-dimensional algebraic varieties with large symmetry groups.
Draisma, Jan
core +4 more sources
Cubical and cosimplicial descent [PDF]
We prove that algebraic K-theory, topological Hochschild homology and topological cyclic homology satisfy cubical and cosimplicial descent at connective structured ring spectra along 1-connected maps of such ring ...
Dundas, Bjørn I., Rognes, John
core +2 more sources
Finiteness Theorems for Deformations of Complexes [PDF]
We consider deformations of bounded complexes of modules for a profinite group G over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be ...
Bleher, Frauke M., Chinburg, Ted
core +3 more sources
Commuting Pauli Hamiltonians as maps between free modules [PDF]
We study unfrustrated spin Hamiltonians that consist of commuting tensor products of Pauli matrices. Assuming translation-invariance, a family of Hamiltonians that belong to the same phase of matter is described by a map between modules over the ...
Haah, Jeongwan
core +2 more sources
Hochster duality in derived categories and point-free reconstruction of schemes [PDF]
For a commutative ring $R$, we exploit localization techniques and point-free topology to give an explicit realization of both the Zariski frame of $R$ (the frame of radical ideals in $R$) and its Hochster dual frame, as lattices in the poset of ...
Kock, Joachim, Pitsch, Wolfgang
core +1 more source
New distinguished classes of spectral spaces: a survey
In the present survey paper, we present several new classes of Hochster's spectral spaces "occurring in nature", actually in multiplicative ideal theory, and not linked to or realized in an explicit way by prime spectra of rings.
A Grothendieck +38 more
core +1 more source
The space of finitely generated rings
The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space.
Cornulier, Yves
core +3 more sources
Algebras of p-adic distributions and admissible representations
Let G be a compact, locally L-analytic group, where L is a finite extension of Qp. Let K be a discretely valued extension field of L. We study the algebra D(G,K) of K-valued locally analytic distributions on G, and apply our results to the locally ...
Schneider, Peter, Teitelbaum, Jeremy
core +2 more sources

