Results 21 to 30 of about 54 (54)
Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020 Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
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Ecology and Evolution, Volume 10, Issue 10, Page 4391-4406, May 2020., 2020 The invasive plants are widely distributed in different external environments and have a good adaptive ability. Through the analysis of gene expression in the leaves of Solidago canadensis under different shading conditions, the genes that played an important role in responding to shading stress were screened out.
Miao Wu, Zeyu Li, Jianbo Wang
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Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
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Geometric realizations of the s‐weak order and its lattice quotients
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
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New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
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Universal quadratic forms and Northcott property of infinite number fields
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We show that if a universal quadratic form exists over an infinite degree, totally real extension of the field of rationals Q$\mathbb {Q}$, then the set of totally positive integers in the extension does not have the Northcott property. In particular, this implies that no universal form exists over the compositum of all totally real Galois ...
Nicolas Daans +2 more
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Advances in Civil Engineering, Volume 2024, Issue 1, 2024.By relying on the foundation engineering of pile foundations for the Chengdu Metro Line 27 shield tunneling through interchange bridges, three‐dimensional numerical simulation results are used to verify field measurements. This study investigates the horizontal displacement, vertical displacement, and stress characteristics of the pile foundation ...
Yanpeng Du +3 more
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Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
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Advances in Civil Engineering, Volume 2024, Issue 1, 2024.The isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures.
Jingxu Chen +3 more
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