Results 151 to 160 of about 1,240 (281)
A Formal and Explicit Counterexample to the Hodge Conjecture in Dimension Four
This project presents a comprehensive, formal, and explicit counterexample to the Hodge Conjecture in dimension four. The main result is the construction of a Hodge class on the Fermat quintic 4-fold that cannot be represented by any algebraic cycle ...
Kaoru Aguilera Katayama
core +1 more source
A field-wide assessment of differential expression profiling by high-throughput sequencing reveals widespread bias. [PDF]
Päll T +3 more
europepmc +1 more source
Designing Feedback and Assessment for GenAI‐Assisted Digital Multimodal Composition in L2
Abstract The rapidly evolving use of GenAI leads to a crucial need for new approaches to instruction and assessment of language skills in DMC tasks. The study adopted a convergent mixed‐methods design within an 11‐week action research framework. The study was conducted with 12 Turkish tertiary‐level L2 learners based on a process‐genre pedagogy to ...
Sibel Söğüt +2 more
wiley +1 more source
Consider the naively formulated ”weak integral Hodge conjecture”without making use of the Hodge structure, whose validity is equivalent to the validity of the usual integral conjecture when the corresponding Hodge conjecture holds. Then I shall report my
MINAMI, NORIHIKO
core +1 more source
Quantifying microhabitat selection of snowshoe hares using forest metrics from UAS‐based LiDAR
Identifying the spatial and temporal scale at which animals select resources is critical for predicting how populations respond to changes in the environment. The spatial distribution of fine‐scale resources (e.g. patches of dense vegetation) are often linked with critical life‐history requirements such as denning and feeding sites.
Alexej P. K. Sirén +7 more
wiley +1 more source
Hodge Conjecture Resolution via Harmonic-Topological Ψ-Mapping
This paper presents a resolution of the Hodge Conjecture — a central open problem in algebraic geometry — by constructing a novel mapping from harmonic representatives of Hodge classes to rational algebraic cycles.
Craig Crabtree
core +1 more source
Biomolecular Topology: Modelling and Analysis. [PDF]
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc +1 more source
Plant functional groups and root traits are linked to exudation rates of mature temperate trees
Read the free Plain Language Summary for this article on the Journal blog. Abstract Root exudation affects soil biogeochemistry profoundly, yet it is rarely quantified in mature, field‐grown trees and its controls are poorly understood. We measured rates of carbon (C) exudation in 11 tree species that exhibit divergent root traits, including ...
Young E. Oh +7 more
wiley +1 more source
The space of homogeneous probability measures on Γ\X¯maxS is compact: With an appendix by Jialun Li. [PDF]
Daw C, Gorodnik A, Ullmo E.
europepmc +1 more source
Read the free Plain Language Summary for this article on the Journal blog. Abstract Plant invasion and nitrogen (N) deposition are escalating global change threats. Arbuscular mycorrhizal fungi (AMF) are increasingly recognized as critical mediators of plant invasion success, largely through their role in enhancing host nutrient acquisition.
Zhe‐Yang Su +6 more
wiley +1 more source

