Fetching the paper…
Reading the bibliography…
We provide formulas for the Chern classes of linear submanifolds of the moduli spaces of Abelian differentials and hence for their Euler characteristic.
“The moduli space of multi-scale differentials” Preprint, 2019
M. Bainbridge et al · 1910
Earlier work this paper cites.
“The volume of the fundamental domain for some infinite groups”
C.L. Siegel · 1936
Earlier work this paper cites.
“Toroidal embeddings. I”, Lecture Notes in Mathematics, Vol. 339
G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat · 1973
Earlier work this paper cites.
“Hirzebruch’s proportionality theorem in the noncompact case”
D. Mumford · 1977
Earlier work this paper cites.
“Monodromy of hypergeometric functions and nonlattice integral monodromy”
P. Deligne and G.. Mostow · 1986
Earlier work this paper cites.
“The Euler characteristic of the moduli space of curves”
J. Harer and D. Zagier · 1986
Earlier work this paper cites.
“Generalized Picard lattices arising from half-integral conditions”
G.. Mostow · 1986
Earlier work this paper cites.
“Hilbert modular surfaces” 16
G. van Geer · 1988
Earlier work this paper cites.
“On discontinuous action of monodromy groups on the complex n n -ball”
G.. Mostow · 1988
Earlier work this paper cites.
“A numerical characterization of ball quotients for normal surfaces with branch loci”
R. Kobayashi, S. Nakamura and F. Sakai · 1989
Earlier work this paper cites.
“Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms”
Howard Masur and John Smillie · 1993
Earlier work this paper cites.
“Flat surfaces”
W. Veech · 1993
Earlier work this paper cites.
“Intersection theory” 2
W. Fulton · 1998
Earlier work this paper cites.
“Birational geometry of algebraic varieties” With the collaboration of C. H. Clemens and A. Corti, Translated from the 1998 Japanese original 134
J. Koll“’ar and S. Mori · 1998
Earlier work this paper cites.
“Shapes of polyhedra and triangulations of the sphere”
W.. Thurston · 1998
Earlier work this paper cites.
“Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford”
B. Toen · 1999
Earlier work this paper cites.
“Constructions of nontautological classes on moduli spaces of curves”
T. Graber and R. Pandharipande · 2003
Earlier work this paper cites.
“Billiards and Teichmüller curves on Hilbert modular surfaces”
C. McMullen · 2003
Earlier work this paper cites.
“Veech surfaces and complete periodicity in genus two”
K. Calta · 2004
Earlier work this paper cites.
“Volumes of moduli spaces of flat surfaces”, 2021
A. Sauvaget · 2004
Earlier work this paper cites.
“A tale of two moduli spaces: logarithmic and multi-scale differentials”, 2022
D. Chen et al · 2006
Cited alongside, same era.
“Flat surfaces”
A. Zorich · 2006
Cited alongside, same era.
“Euler characteristics of Teichmüller curves in genus two”
M. Bainbridge · 2007
Cited alongside, same era.
“Foliations of Hilbert modular surfaces”
C. McMullen · 2007
Cited alongside, same era.
“Log canonical models for the moduli space of curves: the first divisorial contraction”
B. Hassett and D. Hyeon · 2009
Cited alongside, same era.
“Isolation, equidistribution, and orbit closures for the SL ( 2 , ℝ ) \mathrm{SL}(2,\mathbb{R}) action on moduli space.”
A. Eskin, M. Mirzakhani and A. Mohammadi · 2015
“The Miyaoka-Yau inequality and uniformisation of canonical models”
D. Greb, S. Kebekus, T. Peternell and B. Taji · 2019
Later among the works it cites.
“On the Bogomolov-Miyaoka-Yau inequality for stacky surfaces”
J.C. Chen and H.H. Tseng · 2020
Later among the works it cites.
“A new nonarithmetic lattice in PU ( 3 , 1 ) {\rm PU}(3,1) ”
M. Deraux · 2020
Later among the works it cites.
“Billiards, quadrilaterals, and Moduli spaces”
A. Eskin, C. McMullen, R. Mukamel and A. Wright · 2020
Later among the works it cites.
“Moduli spaces of flat tori and elliptic hypergeometric functions”
S. Ghazouani and L. Pirio · 2020
Later among the works it cites.
“Intersections of loci of admissible covers with tautological classes”
J. Schmitt and J. van Zelm · 2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
“New non-arithmetic complex hyperbolic lattices”
M. Deraux, J.R. Parker and J. Paupert · 2016
Cited alongside, same era.
“Splitting mixed Hodge structures over affine invariant manifolds.”
S. Filip · 2016
Cited alongside, same era.
“Volumes of strata of moduli spaces of quadratic differentials: getting explicit values”
E. Goujard · 2016
Cited alongside, same era.
“Lyapunov spectrum of ball quotients with applications to commensurability questions”
A. Kappes and M. M“”oller · 2016
Cited alongside, same era.
“Modular embeddings of Teichmüller curves”
M. M“”oller and D. Zagier · 2016
Cited alongside, same era.
“Moduli spaces of flat tori with prescribed holonomy”
S. Ghazouani and L. Pirio · 2017
Cited alongside, same era.
“ diffstrata
Matteo Costantini, Martin M“”oller and Jonathan Zachhuber · 2021
Later among the works it cites.
“admcycles—a Sage package for calculations in the tautological ring of the moduli space of stable curves”
V. Delecroix, J. Schmitt and J. van Zelm · 2021
Later among the works it cites.
“Infinitesimal structure of the pluricanonical double ramification locus”
D. Holmes and J. Schmitt · 2021
Later among the works it cites.
“Equations of linear subvarieties of strata of differentials”
F. Benirschke, B. Dozier and S. Grushevsky · 2022
Later among the works it cites.
“Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials” With an appendix by G. Borot, A. Giacchetto and D. Lewanski
Dawei Chen, Martin M“”oller and Adrien Sauvaget · 2022
Later among the works it cites.
“The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials”
M. Costantini, M. M“”oller and J. Zachhuber · 2022
Later among the works it cites.
“Orbifold stability and Miyaoka-Yau inequality for minimal pairs”
H. Guenancia and B. Taji · 2022
Later among the works it cites.
“The boundary of linear subvarieties”
Frederik Benirschke · 2023
Closest in time.
“Pixton’s formula and Abel-Jacobi theory on the Picard stack”
Younghan Bae et al · 2023
Closest in time.
“On the Kodaira dimension of moduli spaces of Abelian differentials”
Dawei Chen, Matteo Costantini and Martin M“”oller · 2024
Closest in time.
“The area is a good enough metric”
Matteo Costantini, Martin M“”oller and Jonathan Zachhuber · 2024
Closest in time.
“Translation surfaces: dynamics and Hodge theory”
Simion Filip · 2024
Closest in time.
“Connected components of the strata of the moduli spaces of quadratic differentials”
Erwan Lanneau · 2062
Closest in time.