Results 101 to 110 of about 6,349 (237)
Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
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A Geometric Study of Commutator Subgroups [PDF]
, 2009 Let G be a group and G' its commutator subgroup. Commutator length (cl) and stable commutator length (scl) are naturally defined concepts for elements of G'. We study cl and scl for two classes of groups.
Zhuang, Dongping, Dongping Zhuang
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Generalizations of quasielliptic curves [PDF]
Épijournal de Géométrie AlgébriqueWe generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
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Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
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Commutative algebra in group cohomology
, 1995 We apply constructions from equivariant topology to Benson-Carlson resolutions and hence prove in (2.1) that the group cohomology ring of a finite group enjoys remarkable duality properties based on its global geometry.
Greenlees, J.P.C.
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On the Galois module structure of units in met acyclic extensions [PDF]
, 1996 Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
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Torsion-free groups with indecomposable holonomy group. I
, 2001 We study the torsion-free generalized crystallographic groups with indecomposable holonomy group which is isomorphic to either C-p, or C-p x C ...
Bódi, Viktor +5 more
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On 2-form gauge models of topological phases
Journal of High Energy Physics, 2019 We explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B 2 G of the symmetry group G, and they are classified by cohomology classes of B 2 G.
Clement Delcamp, Apoorv Tiwari
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Symplectic Bott-Chern cohomology of solvmanifolds
, 2013 We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella +3 more
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