欧几里得项目
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作者:Paul Balmer , Michel Matthey
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2006, Vol.8 (1), pp.211-242Project Euclid
摘要:We establish a general method to produce cofibrant approximations in the modelcategory U S (C,D) of S -valued C -indexed diagrams with D -weakequivalences and D -fibrations. We also present explicit examples of suchapproximations. Here, S is an arbitrary cofibrantly g...
作者:Paul Balmer
来源:[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (7), pp.4145-4161Project Euclid
摘要:We relate endotrivial representations of a finite group in characteristic p to equivariant line bundles on the simplicial complex of nontrivial p –subgroups, by means of weak homomorphisms.
作者:Paul Balmer
来源:[J].Algebra & Number Theory(IF 0.625), 2014, Vol.8 (3), pp.767-779Project Euclid
摘要:After constructing a splitting tower for separable commutative ring objects in tensor-triangulated categories, we define and study their degree.
作者:Paul Balmer , Ivo Dell’Ambrogio , Beren Sanders
来源:[J].Algebraic & Geometric Topology, 2015, Vol.15 (5), pp.3023-3045Project Euclid
摘要:For equivariant stable homotopy theory, equivariant KK–theory and equivariant derived categories, we show how restriction to a subgroup of finite index yields a finite commutative separable extension, analogous to finite étale extensions in algebraic geometry.
作者:Paul Balmer
来源:[J].Tunisian Journal of Mathematics, 2020, Vol.2 (2), pp.359-378Project Euclid
摘要:We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel quotients of the module category, and discuss examples.
作者:Paul Balmer
来源:[J].Algebraic & Geometric Topology, 2010, Vol.10 (3), pp.1521-1563Project Euclid
摘要:We construct a natural continuous map from the triangular spectrum of a tensor triangulated category to the algebraic Zariski spectrum of the endomorphism ring of its unit object. We also consider graded and twisted versions of this construction. We prove that these maps are...

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