Advancing anthracnose resistance in dry beans through the transition from traditional to computational breeding efforts. [PDF]
Patel A +5 more
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An integrated microbiological analysis of the soil and rhizosphere of <i>Agave</i> spp. under minimum technological input farming systems. [PDF]
Pereira VH +7 more
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Severe floods significantly reduce global rice yields. [PDF]
Li Z, Rosa L, Gorelick S.
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Integrated Metabolomics and Network Pharmacology Reveal the Active Components and Potential Health-Beneficial Mechanisms of Different Jujube (<i>Ziziphus jujuba</i>) Cultivars. [PDF]
Chen Y +6 more
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SoyCountNet: a deep learning framework for counting and locating soybean seeds in field environment. [PDF]
Liu F +7 more
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Transfer learning models for wheat ear detection on multi-source dataset. [PDF]
Grbović Ž +5 more
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A Global Duality Theorem for Varieties Over Global Fields
Concerning Galois cohomology groups of a global field, namely a number field or a function field in one variable over a finite field, Poitou and Tate have proved independently a duality theorem which is expressed in a certain long exact sequence of locally compact abelian groups.
Shuji Saito
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Cohomology of algebraic varieties over the maximal cyclotomic extension of a global field
Proceedings of the American Mathematical Society, 2020Let k k be a global field and let
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AbstractLetKbe a global field,$\mathcal{V}$a proper subset of the set of all primes ofK,$\mathcal{S}$a finite subset of$\mathcal{V}$, and${\tilde K}$(resp.Ksep) a fixed algebraic (resp. separable algebraic) closure ofKwith$K_\mathrm{sep}\{\subseteq}{\tilde K}$. Let Gal(K) = Gal(Ksep/K) be the absolute Galois group ofK.
Jarden, Moshe, Razon, Aharon
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