Results 71 to 80 of about 3,783 (150)
Hecke structures of weakly holomorphic modular forms and their algebraic properties
Journal of Number Theory, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choi, Dohoon, Lim, Subong
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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
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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 +3 more
wiley +1 more source
Real Quadratic Analogs of Traces of Singular Moduli [PDF]
, 2017 In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmonic) modular forms are expressed in terms of real quadratic analogs of traces of singular moduli.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
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Congruences involving arithmetic progressions for weakly holomorphic modular forms
Advances in Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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
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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
wiley +1 more source
Rational period functions and cycle integrals [PDF]
, 2018 In this paper we give some applications of weakly holomorphic forms and their cycle integrals to rational period functions for the modular group.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
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