Results 61 to 70 of about 6,121 (156)

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

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

Linear Relations Among Poincare Series via Harmonic Weak Maass Forms

, 2011
We discuss the problem of the vanishing of Poincar\'e series. This problem is known to be related to the existence of weakly holomorphic forms with prescribed principal part.
Satadal Ganguly, Soumya Das
core   +1 more source

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà   +3 more
wiley   +1 more source

Some applications of canonical metrics to Landau–Ginzburg models

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley   +1 more source

Mock Jacobi forms in basic hypergeometric series

, 2008
We show that some $q$-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and ...
Andrews, Eichler, Gasper, Soon-Yi Kang, Zwegers   +4 more
core   +1 more source

Cycle integrals and rational period functions for Γ0+(2) and Γ0+(3)

Open Mathematics
For p∈{2,3}p\in \left\{2,3\right\} and an even integer kk, let Wk−2−(p){W}_{k-2}^{-}\left(p) be the space of period polynomials of weight k−2k-2 on Γ0+(p){\Gamma }_{0}^{+}\left(p) with eigenvalue −1-1 under the Fricke involution.
Choi SoYoung, Kim Chang Heon, Lee Kyung Seung   +2 more
doaj   +1 more source

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source

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, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf   +5 more
wiley   +1 more source

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi, Masaki Okada, Taizan Watari   +2 more
wiley   +1 more source