Results 51 to 60 of about 7,311 (162)

Invariant holomorphic foliations on Kobayashi hyperbolic homogeneous manifolds

open access: yes, 2015
Let $M$ be a Kobayashi hyperbolic homogenous manifold. Let $\mathcal F$ be a holomorphic foliation on $M$ invariant under a transitive group $G$ of biholomorphisms.
Bracci, Filippo   +2 more
core   +1 more source

Module structure of Weyl algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Meromorphic vector fields with single-valued solutions on complex surfaces

open access: yes, 2019
We study ordinary differential equations in the complex domain given by meromorphic vector fields on K\"ahler compact complex surfaces. We prove that if such an equation has a maximal single valued solution with Zariski-dense image (in particular, if it ...
Guillot, Adolfo
core   +1 more source

Siegel–Veech constants for cyclic covers of generic translation surfaces

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino   +4 more
wiley   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

Minimal projective varieties satisfying Miyaoka's equality

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai   +2 more
wiley   +1 more source

Existence and orthogonality of stable envelopes for bow varieties

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source

Weakly special threefolds and nondensity of rational points

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch   +2 more
wiley   +1 more source

Some Open Problems on Holomorphic Foliation Theory [PDF]

open access: yesActa Mathematica Vietnamica, 2019
We present a list of open questions in the theory of holomorphic foliations, possibly with singularities. Some problems have been around for a while, others are very accessible.
Tien-Cuong Dinh, Nessim Sibony
openaire   +2 more sources

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