Counting rational points on Hirzebruch–Kleinschmidt varieties over global function fields
Journal of Number TheoryInspired by Bourqui's work on anticanonical height zeta functions on Hirzebruch surfaces, we study height zeta functions of split toric varieties with Picard rank 2 over global function fields, with respect to height functions associated with big metrized line bundles.
Sebastián Herrero +2 more
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The $$\mu $$-invariant change for abelian varieties over finite p-extensions of global fields
Research in the Mathematical Sciencesv3, 38 pages, basically identical to v2, with clarifications regarding certain citations from [LLSTT21]
Ki-Seng Tan +2 more
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A comparison between obstructions to local-global principles over semiglobal fields [PDF]
, 2021 We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields.
Harbater, David +3 more
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Resistance Breeding Increases Winter Wheat Gross Margins–An Economic Assessment for Germany
Frontiers in Agronomy, 2021 Improved wheat varieties have ameliorated our food production. Intensive cropping systems, as in Germany, achieve very high grain yields and thus contribute greatly to global food security.
Sophia Lüttringhaus +6 more
doaj +1 more source
Frontiers in Plant Science, 2022 Wheat (Triticum aestivum L.) is a major global commodity and the primary source for baked products in agri-food supply chains. Consumers are increasingly demanding more nutritious food products with less environmental degradation, particularly related to
Santiago Tamagno +8 more
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GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
Forum of Mathematics, Sigma, 2016 We introduce a common generalization of essentially all known methods for explicit computation of Selmer groups, which are used to bound the ranks of abelian varieties over global fields.
NILS BRUIN, BJORN POONEN, MICHAEL STOLL
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Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
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Failure of the local-global principle for isotropy of quadratic forms over function fields
, 2023 We prove the failure of the local-global principle, with respect to discrete valuations, for isotropy of quadratic forms over function fields of transcendence degree at least 2 over algebraically closed fields.
Auel, Asher, Suresh, V.
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The $p$-adic monodromy group of abelian varieties over global function fields of characteristic $p$
Documenta Mathematica, 2022 We prove an analogue of the Tate isogeny conjecture and the semi-simplicity conjecture for overconvergent crystalline Dieudonné modules of abelian varieties defined over global function fields of characteristic p .
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Genetically Modified Organisms (GMOs) – Part I
Voices in Bioethics, 2015 Introduction The phenomena and practice of improving crop and animal species seem germane to humanity across every known documented civilization. Some of these methods include cross and selective hybridization, grafting among others.
Emmanuel Kornyo
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