LOEWE: Preprints

Preprints

2020

Preprint 9/2020
Theta blocks related to root systems
Moritz Dittmann, Haowu Wang

Preprint 8/2020
Borcherds products of half-integral weight
Haowu Wang, Brandon Williams

Preprint 7/2020
On some free algebras of orthogonal modular forms
Haowu Wang, Brandon Williams

Preprint 6/2020
Two graded rings of Hermitian modular forms
Brandon Williams

Preprint 5/2020
Cubic twin prime polynomials are counted by a modular form
Lior Bary-Soroker, Jakob Stix

Preprint 4/2020
Local systems on diamonds and p-adic vector bundles
Lucas Mann, Annette Werner

Preprint 3/2020
The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials
Matteo Costantini, Martin Möller and Jonathan Zachhuber

Preprint 2/2020
diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials
Matteo Costantini, Martin Möller and Jonathan Zachhuber

Preprint 1/2020
A non-Archimedean analogue of Teichmüller space and its tropicalization
Martin Ulirsch

2019

Preprint 37/2019
Wall-crossing and recursion formulae for tropical Jucys covers
Marvin Anas Hahn, Danilo Lewanski

Preprint 36/2019
Lecture notes on adic spaces
Torsten Wedhorn

Preprint 35/2019
Tautological rings of Shimura varieties and cycle classes of Ekedahl-Oort strata
Torsten Wedhorn, Paul Ziegler

Preprint 34/2019
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions
David Klein, Jennifer Kupka

Preprint 33/2019
Two graded rings of Hermitian modular forms
Brandon Williams

Preprint 32/2019
Harmonic theta series and the Kodaira dimension of A6
Moritz Dittmann, Riccardo Salvati Manni, Nils R. Scheithauer

Preprint 31/2019
Dimension Formulae and Generalised Deep Holes of the Leech Lattice Vertex Operator Algebra
Sven Möller, Nils R. Scheithauer

Preprint 30/2019
Note on Fourier expansions at cusps
François Brunault, Michael Neururer

Preprint 29/2019
Weil's converse theorem for Maass forms and cancellation of zeros
Michael Neururer, Thomas Oliver

Preprint 28/19
Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective
Madeline Brandt and Martin Ulirsch

Preprint 27/2019
Triply mixed coverings of arbitrary base curves: Quasimodularity, quantum curves and amysterious topological recursions.
Marvin Anas Hahn, Jan-Willem van Ittersum and Felix Leid

Preprint 26/2019
Theta lifts for Lorentzian lattices and coefficients of mock theta functions
Jan Hendrik Bruinier, Markus Schwagenscheidt

Preprint 25/2019
Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties
Jan Hendrik Bruinier, Shaul Zemel

Preprint 24/2019
CM values of higher automorphic Green functions for orthogonal groups
Jan Hendrik Bruinier, Stephan Ehlen, Tonghai Yang

Preprint 23/2019
Tropical convex hulls of infinite sets
Cvetelina Hill, Sara Lamboglia, Faye Pasley Simon

Preprint 22/2019
A short note on Cayley-Salmon equations
Marvin Anas Hahn, Sara Lamboglia, Alejandro Vargas

Preprint 21/2019
Geometry of multigraded rings and embeddings of toric varieties
Alex Küronya, Stefano Urbinati

Preprint 20/2019
Higher pullbacks of modular forms on orthogonal groups
Brandon Williams

Preprint 19/2019
The moduli space of multi-scale differentialshttps://arXiv:1910.13492
Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, Martin Möller

Preprint 18/2019
Mehr erfahrenThe area is a good metrichttps://
Matteo Costantini, Martin Möller, Jonathan Zachhuber

Preprint 17/2019
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials (with Dawei Chen, Adrien Sauvaget, with an appendix by Gaëtan Borot, Alessandro Giacchetto, Danilo Lewanski)Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials (with Dawei Chen, Adrien Sauvaget, with an appendix by Gaëtan Borot, Alessandro Giacchetto, Danilo Lewanski)
D. Chen, M. Möller, A. Sauvaget, with an appendix by G. Borot, A. Giacchetto, D. Lewanski

Preprint 16/2019
The Manin constant and the modular degree
Kestutis Cesnavicius, Michael Neururer, Abhishek Saha

Preprint 15/2019
On a Conjecture of Yui and Zagier
Yingkun Li, Tonghai Yang

Preprint 14/2019
Tropical double ramification loci
Martin Ulirsch, Dmitry Zakharov

Preprint 13/2019
The motivic Satake equivalen
Timo Richarz, Jakob Scholbach

Preprint 12/2019
Normality and Cohen-Macaulayness of parahoric local models
Thomas J. Haines, Timo Richarz

Preprint 11/2019
The intersection motive of the moduli stack of Shtukas
Timo Richarz, Jakob Scholbach

Preprint 10/2019
Graded rings of paramodular forms of levels 5 and 7
Brandon Williams

Preprint 9/2019
Twisted component sums of vector-valued modular forms
Markus Schwagenscheidt, Brandon Williams

Preprint 8/2019
Divisorial motivic zeta functions for marked stable curves
Madeline Brandt, Martin Ulirsch

Preprint 7/2019
Strongly semistable reduction of syzygy bundles on plane curves
Marvin Anas Hahn, Annette Werner

Preprint 6/2019
Concave transforms of filtrations and rationality of Seshadri constants
Alex Küronya, Catriona Maclean, Joaquim Roé

Preprint 5/2019
Bounded volume denominators and bounded negativity
Thomas Bauer, Brian Harbourne, Alex Küronya, Matthias Nickel

Preprint 4/2019
Masur-Veech volume of the gothic locus
David Torres-Teigell

Preprint 3/2019
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
Dawei Chen, Martin Möller, Adrien Sauvaget, Don Zagier

Preprint 2/2019
Abelian tropical covers
Yoav Len, Martin Ulirsch, Dmitry Zakharov

Preprint 1/2019
Skeletons of Prym varieties and Brill--Noether theory
Yoav Len, Martin Ulirsch

2017/18

Preprint 24/2018
Higher syzygies on surfaces with numerically trivial canonical bundle
Daniele Agostini, Alex Küronya, Victor Lozovanu

Preprint 23/2018
Reflective automorphic forms on lattices of squarefree level
Moritz Dittmann

Preprint 22/2018
Regularized inner products of meromorphic modular forms and higher Green’s functions
Kathrin Bringmann, Ben Kane, Anna-Maria von Pippich

Preprint 21/2018
A Jensen–Rohrlich type formula for the hyperbolic 3-space
Sebastián Herrero, Özlem Imamoğlu, Anna-Maria von Pippich, Árpád Tóth

Preprint 20/2018
Tautological rings of Shimura varieties and cycle classes of Ekedahl-Oort strata
Torsten Wedhorn, Paul Ziegler

Preprint 19/2018
Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective
Madeline Brandt, Martin Ulirsch

Preprint 18/2018
Effective global generation on varieties with numerically trivial canonical class
Alex Küronya, Yusuf Mustopa

Preprint 17/2018
Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes
Nithi Rungtanapirom, Jakob Stix, Alina Vdovina

Preprint 16/2018
Pillowcase covers: Counting Feynman-like graphs associated with quadratic differentials
Elise Goujard, Martin Möller

Preprint 15/2018
Singular Units and Isogenies Between CM Elliptic Curves
Yingkun Li

Preprint 14/2018
Average CM-values of Higher Green's Function and Factorization
Yinkung Li

Preprint 13/2018
Computing antisymmetric modular forms and theta lifts
Brandon Williams

Preprint 12/2018
The rings of Hilbert modular forms for Q(sqrt29) and Q(sqrt37)
Brandon Williams

Preprint 11/2018
Remarks on the theta decomposition of vector-valued Jacobi forms
Brandon Williams

Preprint 10/2018
Mock modular forms whose shadows are Eisenstein series of integral weight
Sebastián Herrero, Anna-Maria von Pippich

Preprint 9/2018
A magnetic modular form
Yingkun Li, Michael Neururer

8/2018; Proceedings ICM 2018, Rio de Janeiro
Geometry of Teichmüller Curves
Martin Möller

Preprint 7/2018
Euler characteristics of Gothic Teichmüller curves
Martin Möller, David Torres-Teigell

Preprint 6/2018
An explicit construction of non-tempered cusp forms on O(1,8n+1)
Yingkun Li, Hiro-aki Narita, Ameya Pitale

Preprint 5/2018
A converse theorem for Borcherds products on X_0(N)
Jan Hendrik Bruinier, Markus Schwagenscheidt

Preprint 4/2018
Fourier expansions at cusps
François Brunault, Michael Neururer

Preprint 3/2018
Mahler measures of elliptic modular surfaces
François Brunault, Michael Neururer

Preprint 2/2018
Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras
Jethro van Ekeren, Sven Möller, Nils R. Scheithauer

Preprint 1/2018
Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series
Jan Hendrik Bruinier, Tonghai Yang

Preprint 2/2017
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu, Yingkun Li

Preprint 1/2017
Realizability of tropical canonical divisors
Martin Möller, Martin Ulirsch, Annette Werner