Results 51 to 60 of about 5,001,425 (314)
Symmetry-surfing the moduli space of Kummer K3s [PDF]
, 2013 A maximal subgroup of the Mathieu group M24 arises as the combined holomorphic symplectic automorphism group of all Kummer surfaces whose Kaehler class is induced from the underlying complex torus. As a subgroup of M24, this group is the stabilizer group
A. Taormina, K. Wendland
semanticscholar +1 more source
Relations in the tautological ring of the moduli space of curves [PDF]
, 2013 The virtual geometry of the moduli space of stable quotients is used to obtain Chow relations among the kappa classes on the moduli space of nonsingular genus g curves.
R. Pandharipande, A. Pixton
semanticscholar +1 more source
To the cusp and back: resurgent analysis for modular graph functions
Journal of High Energy Physics, 2022 Modular graph functions arise in the calculation of the low-energy expansion of closed-string scattering amplitudes. For toroidal world-sheets, they are SL(2, ℤ)-invariant functions of the torus complex structure that have to be integrated over the ...
Daniele Dorigoni +2 more
doaj +1 more source
Curvatures of moduli space of curves and applications [PDF]
, 2013 In this paper, we investigate the geometry of the moduli space of curves by using the curvature properties of direct image sheaves of vector bundles. We show that the moduli space $(M_g, \omega_{WP})$ of curves with genus $g>1$ has dual-Nakano negative ...
Kefeng Liu +3 more
semanticscholar +1 more source
Moduli spaces of complex affine and dilation surfaces [PDF]
arXiv, 2022 We construct moduli spaces of complex affine and dilation surfaces. Using ideas of Veech, we show that the the moduli space of affine surfaces with fixed genus and with cone points of fixed complex order is a holomorphic affine bundle over the moduli space of Riemann surfaces.
arxiv
The geometry of the moduli space of one-dimensional sheaves [PDF]
, 2013 Let Md be the moduli space of stable sheaves on ℙ2 with Hilbert polynomial dm+1. In this paper, we determine the effective and the nef cone of the space Md by natural geometric divisors.
Jinwon Choi, Kiryong Chung
semanticscholar +1 more source
On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics
Open Mathematics, 2018 A parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show ...
Iena Oleksandr
doaj +1 more source
The tropicalization of the moduli space of curves [PDF]
, 2012 We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is naturally identified with the moduli space of extended tropical curves, and that this is compatible with the "naive" set-theoretic tropicalization map.
D. Abramovich, L. Caporaso, S. Payne
semanticscholar +1 more source
CONNECTED COMPONENTS OF THE STRATA OF THE MODULI SPACE OF MEROMORPHIC DIFFERENTIALS [PDF]
, 2012 In this paper, we study the translation surfaces corresponding to meromorphic differentials on compact Riemann surfaces. We compute the number of connected components of the corresponding strata of the moduli space.
Corentin Boissy
semanticscholar +1 more source
The André–Oort conjecture for the moduli space of abelian surfaces [PDF]
Compositio Mathematica, 2011 We provide an unconditional proof of the André–Oort conjecture for the coarse moduli space 𝒜2,1 of principally polarized abelian surfaces, following the strategy outlined by Pila–Zannier.
J. Pila, Jacob Tsimerman
semanticscholar +1 more source