Results 1 to 10 of about 11,985 (187)

Specialization orders on atom spectra of Grothendieck categories [PDF]

open access: yes, 2015
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]

open access: yes, 2018
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]

open access: yes, 2013
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]

open access: yes, 2017
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]

open access: yes, 2010
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]

open access: yes, 2012
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]

open access: yes, 2015
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

open access: yes, 2015
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

open access: yes, 2009
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

open access: yes, 2002
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

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