Results 51 to 60 of about 2,867,834 (292)
Homotopy obstructions to rational points [PDF]
, 2013 In this paper we propose to use a relative variant of the notion of the étale homotopy type of an algebraic variety in order to study the existence of rational points on it. In particular, we use an appropriate notion of homotopy fixed points in order to construct obstructions to the local-global principle.
Harpaz, Yonatan, Schlank, Tomer M.
openaire +3 more sources
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Density of rational points on certain elliptic K3 surfaces
, 2019 We propose a 2-cover method to study rational points on elliptic surfaces. We apply it to several isotrivial Kummer-type families whose generic Mordell-Weil ranks are 0 so that geometric argument may fail and we show that for these families rational ...
Huang, Zhizhong
core +1 more source
On the rational function field of real curves without real points
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 Let F be the field of rational functions of a real algebraic curve without real points. It is well-known that in F we can express -1 as a sum of two squares. We show that -1 is also a sum of four fourth powers, six sixth powers, and so on.
Manuel Ojanguren
doaj +1 more source
On fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces
Journal of Inequalities and Applications, 2021 We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for ( α , ψ ) $(\alpha ,\psi )$ -rational-type contractive mappings in generalized parametric ...
Thounaojam Stephen +5 more
doaj +1 more source
FEBS Letters, EarlyView.The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi +6 more
wiley +1 more source
Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Gözde Özkan Tükel +2 more
doaj +1 more source
Structure‐forward targeting of claudins with synthetic binders
FEBS Letters, EarlyView.Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source
Rational points over $C_1$-fields of characteristic 0
, 2019 In the 1950s Lang studied the properties of $C_1$ fields, that is, fields over which every hypersurface of degree at most $n$ in a projective space of dimension $n$ has a rational point.
Pieropan, Marta
core +1 more source