Results 61 to 70 of about 32,264 (146)
Theta divisors and permutohedra
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
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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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Relative Čech–Dolbeault homology and applications [PDF]
, 2020 We define the relative Dolbeault homology of a complex manifold with currents via a Čech approach, and we prove its equivalence with the relative Čech–Dolbeault cohomology as defined by Suwa (in: Singularities–Niigata–Toyama 2007.
Tardini N.
core +1 more source
Dolbeault cohomologies of blowing up complex manifolds [PDF]
Journal de Mathématiques Pures et Appliquées, 2019 We prove a blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology. As corollaries, we present a uniform proof for bimeromorphic invariance of $(\bullet,0)$- and $(0,\bullet)$-Hodge numbers on a compact complex manifold, and obtain the equality for the numbers of the blow-ups and blow-downs ...
Rao, Sheng, Yang, Song, Yang, Xiangdong
openaire +2 more sources
Model category structures on truncated multicomplexes for complex geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
wiley +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
, 2022 We define a transverse Dolbeault cohomology associated to any almost complex structure $j$ on a smooth manifold $M$. This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive limit distribution ...
Gutt, Jean, Cahen, Michel, Gutt, Simone
core
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
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