Results 21 to 30 of about 9,056,610 (112)
Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Complex Manifolds, 2017 Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
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Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
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F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020 Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
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Intertwining operators into Dolbeault cohomology representations [PDF]
, 1992 Let GL be the quotient of a semisimple Lie group G by the centralizer L of a torus. The space of Dolbeault cohomology sections of a holomorphic line bundle over GL is a natural place to realize interesting irreducible unitary representations of G and was
Knapp, A.W., Barchini, L., Zierau, R.
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Canonical complex extensions of Kähler manifolds
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020 Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
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Dolbeault cohomology of weakly smooth forms on non-archimedean abelian varieties [PDF]
, 2023 We investigate the Dolbeault cohomology of weakly smooth forms on the Berkovich analytification of abelian varietes over a complete, non-trivially valued, non-archimedean field.
Prechtel, Miriam
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On the Weil-étale Cohomology of S-Integers [PDF]
, 2012 We generalize the Lichtenbaum's prototype of Weil-étale cohomology to S-integers and study its relation to the Tate sequences. In the final part, we present a more natural way to define Weil-étale cohomology for one-dimensional arithmetic schemes ...
Chiu, Yi-Chih
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The Dolbeault-cohomology ring of a compact, even-dimensional lie group
Proceedings Mathematical Sciences, 1988 A left invariant, integrable, complex structure (LICS) on a compact, connected, even-dimensional (real) Lie group G is an R-linear mapping J of the Lie algebra \({\mathfrak G}\) of left invariant vector fields on G into itself such that (1) \(J^ 2=-Id_{{\mathfrak G}};\) (2) \([JX,JY]=[X,Y]+J([JX,Y]+[X,JY])\) for all X,Y\(\in {\mathfrak G}\).
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Bott-Chern cohomology of solvmanifolds [PDF]
, 2012 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology.
Daniele Angella +3 more
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