Results 31 to 40 of about 9,056,610 (112)

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
wiley   +1 more source

Type IIB Flux Vacua and Tadpole Cancellation

Fortschritte der Physik, Volume 67, Issue 11, November 2019., 2019
Abstract We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole‐cancellation condition. As a concrete example we focus on , for which we find that solutions to the F‐term equations at weak coupling, large complex structure and large volume require large flux contributions.
Philip Betzler, Erik Plauschinn
wiley   +1 more source

Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds

Journal of Geometry and Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +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

Moduli Space in Homological Mirror Symmetry

Advances in Mathematical Physics, Volume 2019, Issue 1, 2019., 2019
We prove that the moduli space of the pseudo holomorphic curves in the A‐model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B‐model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of the both models.
Matsuo Sato, Dimitrios Tsimpis
wiley   +1 more source

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

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

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