Results 11 to 20 of about 6,562 (88)
Locally constant fibrations and positivity of curvature
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1005-1025, April 2025.Abstract Up to finite étale cover, any smooth complex projective variety X$X$ with nef anti‐canonical bundle is a holomorphic fibre bundle over a smooth projective variety with trivial canonical class (K‐trivial variety for short) with locally constant transition functions. We show that this result is optimal by proving that any projective fibre bundle
Niklas Müller
wiley +1 more source
Hurwitz numbers for reflection groups III: Uniform formulae
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos +2 more
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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
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On Riemannian 4‐manifolds and their twistor spaces: A moving frame approach
Mathematische Nachrichten, Volume 297, Issue 12, Page 4651-4670, December 2024.Abstract In this paper, we study the twistor space Z$Z$ of an oriented Riemannian 4‐manifold M$M$ using the moving frame approach, focusing, in particular, on the Einstein, non‐self‐dual setting. We prove that any general first‐order linear condition on the almost complex structures of Z$Z$ forces the underlying manifold M$M$ to be self‐dual, also ...
Giovanni Catino +2 more
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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
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Rational surfaces with a non‐arithmetic automorphism group
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3895-3904, December 2024.Abstract In [Algebraic surfaces and hyperbolic geometry, Cambridge University Press, Cambridge, 2012], Totaro gave examples of a K3 surface such that its automorphism group is not commensurable with an arithmetic group, answering a question of Mazur in Section 7 of [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 14–50].
Jennifer Li, Sebastián Torres
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Rank‐expanding satellites, Whitehead doubles, and Heegaard Floer homology
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract We show that a large class of satellite operators are rank‐expanding; that is, they map some rank‐one subgroup of the concordance group onto an infinite linearly independent set. Our work constitutes the first systematic study of this property in the literature and partially affirms a conjecture of the second author and Pinzón‐Caicedo.
Irving Dai +3 more
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Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
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An approach to Set-Valued Anti-Homomorphism of T-Rough Ideals on $Γ$-Semigroups [PDF]
arXiv, 2022 In this paper, the concepts of set-valued anti-homomorphism and strong set-valued anti-homomorphism of $\Gamma$-semigroup are introduced. The notions of generalized lower and upper approximation operators, constructed by means of set-valued mapping, which is a generalization of the notion of lower and upper approximation of $\Gamma$-semigroup, are ...
arxiv
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract For a log Calabi Yau pair (X,D$X,D$) with X∖D$X\setminus D$ smooth affine, satisfying either a maximal degeneracy assumption or contains a Zariski dense torus, we prove under the condition that D is the support of a nef divisor that the structure constants defining a trace form on the mirror algebra constructed by Gross–Siebert are given by ...
Samuel Johnston
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