Results 61 to 70 of about 130 (112)
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley +1 more source
Intertwining operators into Dolbeault cohomology representations
Journal of Functional Analysis, 1992 Let \(G\) be a linear connected semisimple real Lie group with the complexification \(G^ C\), let \(K\) be a maximal compact subgroup in \(G\) and let \(T\) be a torus in \(K\) with \(L\) the centralizer of \(T\) in \(G\). The authors assume that \(G\) and \(L\) have the same real rank.
Barchini, L., Knapp, A.W., Zierau, R.
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Constructing and Machine Learning Calabi‐Yau Five‐Folds
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract Motivated by their role in M‐theory, F‐theory, and S‐theory compactifications, all possible complete intersections Calabi‐Yau five‐folds in a product of four or less complex projective spaces are constructed, with up to four constraints. A total of 27 068 spaces are obtained, which are not related by permutations of rows and columns of the ...
Rashid Alawadhi +3 more
wiley +1 more source
, 2019 We review the notion of relative Dolbeault cohomology and prove that it is canonically isomorphic with the local (relative) cohomology of A. Grothendieck and M. Sato with coefficients in the sheaf of holomorphic forms. We deal with this cohomology from two viewpoints.
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Lie-algebra Dolbeault-cohomology and small deformations of nilmanifolds [PDF]
Journal of the London Mathematical Society, 2009 We consider nilmanifolds with left-invariant complex structure and prove that small deformations of such structures are again left invariant if the Dolbeault-cohomology of the nilmanifold can be calculated using left-invariant forms. By a result of Console and Fino this is generically the case. Our main tool is an analog of Dolbeault-cohomology for Lie-
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de Rham and Dolbeault cohomology of solvmanifolds with local systems [PDF]
Mathematical Research Letters, 2014 17 pages, I combined arXiv:1207.3988v2 and arXiv:1208 ...
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Monodromy map for tropical Dolbeault cohomology
Algebraic Geometry, 2019 We define monodromy maps for tropical Dolbeault cohomology of algebraic varieties over non-Archimedean fields. We propose a conjecture of Hodge isomorphisms via monodromy maps, and provide some evidence.
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