Patching over analytic fibers and the local–global principle
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DOI: 10.1007/s00208-021-02265-9
Abstract: As a starting point for higher-dimensional patching in the Berkovich setting, we show that this technique is applicable around certain fibers of a relative Berkovich analytic curve. As a consequence, we prove a local-global principle… read more here.
Keywords: patching analytic; analytic fibers; fibers local; local global ... See more keywords
Local-Global Principle for the General Quadratic and General Hermitian Groups and the Nilpotency of KH1
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DOI: 10.1007/s10958-018-3891-0
Abstract: In this article, an analog of the Quillen–Suslin’s local-global principle was established for the elementary subgroup of the general quadratic group and the general Hermitian group. It is shown that unstable K1-groups of the general… read more here.
Keywords: general quadratic; hermitian groups; general hermitian; local global ... See more keywords
Faltings’ local–global principle for the in dimension
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DOI: 10.1080/00927872.2017.1412453
Abstract: ABSTRACT The concept of Faltings’ local–global principle for the in dimension read more here.
Keywords: dimension; faltings local; principle; principle dimension ... See more keywords
The derived category analogues of Faltings Local-global Principle and Annihilator Theorems
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DOI: 10.1142/s0219498819501408
Abstract: Let [Formula: see text] be a specialization closed subset of Spec R and X a homologically left-bounded complex with finitely generated homologies. We establish Faltings’ Local-global Principle and Annihilator Theorems for the local cohomology modules… read more here.
Keywords: faltings local; global principle; principle annihilator; annihilator theorems ... See more keywords