1322 papers
Math — Ag explores the powerful intersection where advanced mathematics meets agricultural science, tackling complex challenges from crop optimization to sustainable farming systems. By applying rigorous statistical models and algorithmic simulations, researchers in this field develop tools to predict climate impacts on yields and enhance global food security without relying on trial-and-error methods.
Gist.Science curates the latest research from arXiv, ensuring that every new preprint in this category is processed immediately. We transform dense academic papers into accessible resources, offering both plain-language overviews for broader understanding and detailed technical summaries for specialists. Below are the latest papers in Math — Ag, ready to help you navigate the future of farming through data.
This paper establishes a geometric realization of spherical T-duality for oriented -bundles over by relating it to bifree -diagrams and demonstrating that, after stabilization, these dualities between homotopy 7-spheres (including exotic ones like the Gromoll–Meyer sphere) are implemented by product-preserving generalized logarithmic transformations.
This paper resolves a question posed by Farb regarding the continuous selection of distinct points on smooth cubic plane curves by proving that such a choice is unique up to homotopy for and impossible for .
This paper serves as an obituary honoring Professor Dr. Winfried Bruns (1946–2026), a distinguished mathematician and computer scientist known for his expertise in combinatorial commutative algebra and cryptography, as well as his unique ability to integrate music and history into his teaching and his own skill as a viola player.
This paper introduces an automated numerical framework that combines phase space compactification with computational algebraic techniques to generate partitioned parameter landscapes identifying regions where polynomial dynamical systems exhibit finite-time blow-up.
This paper establishes a homotopical monadicity theorem for the adjunction between suspension spectra and zeroth spaces in motivic stable homotopy theory by verifying specific hypotheses through six preliminary simplicial results and a general framework for monadic algebras, thereby providing tools for a conjectured operadic recognition principle for motivic infinite loop spaces.
This paper extends the Kollár-Lieblich-Olsson-Sawin theorems on reconstructing varieties from their Zariski topological spaces to arbitrary quasi-projective varieties over uncountable algebraically closed fields of any characteristic, utilizing model-theoretic techniques known as the Zilber trichotomy for ACF-relics to affirmatively resolve the original authors' relevant speculations.
This paper generalizes the concept of connections from smooth manifolds to associative varieties, leveraging a faithful embedding of manifolds into this category to prove the existence of geodesics within associative varieties.
This paper explores the connections between tautological systems and the local cohomology of cones over homogeneous spaces by introducing a derived version based on the Chevalley–Eilenberg complex and demonstrating that it underlies a complex of mixed Hodge modules in many cases.
This paper establishes equidistribution and proves Manin's conjecture for rational points outside the lines on smooth split quintic del Pezzo surfaces over number fields by introducing a general theorem that leverages the torsor method with multiple equivalent height functions.
This paper introduces a method to fix partial solutions of Brent equations in a way that avoids redundancy from isotropy group actions, thereby generating nontrivial parameterized solution sets that yield infinitely many inequivalent rational-coefficient algorithms for 48 multiplications.