Results 41 to 50 of about 3,199 (91)
Remarks on the $L^2$-Dolbeault Cohomology Groups of Singular Algebraic Surfaces and Curves
Publications of the Research Institute for Mathematical Sciences, 1990 Let V be a complex algebraic variety of dimension \(\leq 2\). If V is nonsingular it is straight forward to define the Dolbeault cohomology groups of V. If V is singular, then there is a variety of approaches one can use to define \(L^ 2\)-Dolbeault cohomology groups on the incomplete Kähler manifold V-Sing(V) [see \textit{W. L.
openaire +2 more sources
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
Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2011 The author studies irreducible unitary representations of the unitary group \(G=U(n,n)\). Algorithms for calculating branching rules of finite-dimensional representations are well known, whereas no such algorithm is known for infinite-dimensional representations when restricted to compact subgroups.
openaire +3 more sources
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
Holomorphic Poisson Cohomology [PDF]
, 2014 A holomorphic Poisson structure induces a deformation of the complex structure as Hitchin's generalized geometry. Its associated cohomology naturally appears as the limit of a spectral sequence of a double complex.
Chen, Zhuo +2 more
core
Flat bundles and Hyper-Hodge decomposition on solvmanifolds
, 2014 We study rank $1$ flat bundles over solvmanifolds whose cohomologies are non-trivial. By using Hodge theoretical properties for all topologically trivial rank $1$ flat bundles, we represent the structure theorem of K\"ahler solvmanifolds as extensions of
Kasuya, Hisashi
core +1 more source
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
Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]
, 2017 We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Angella, Daniele, Kasuya, Hisashi
core
Hodge theory and deformations of SKT manifolds [PDF]
, 2012 We use tools from generalized complex geometry to develop the theory of SKT (a.k.a. pluriclosed Hermitian) manifolds and more generally manifolds with special holonomy with respect to a metric connection with closed skew-symmetric torsion.
Cavalcanti, Gil R.
core