Results 1 to 10 of about 112,607 (232)

Moduli Spaces and Formal Operads [PDF]

, 2004
Let overline{M}_{g,n} be the moduli space of stable algebraic curves of genus g with n marked points. With the operations which relate the different moduli spaces identifying marked points, the family (overline{M}_{g,n})_{g,n} is a modular operad of ...
Guillen, F., Navarro, V., Pascual, P., Roig, A.   +3 more
core   +6 more sources

Finite-dimensional representations of the elliptic modular double [PDF]

, 2015
We investigate the kernel space of an integral operator M(g) depending on the "spin" g and describing an elliptic Fourier transformation. The operator M(g) is an intertwiner for the elliptic modular double formed from a pair of Sklyanin algebras with the
Derkachov, S. E., Spiridonov, V. P.
core   +1 more source

Unimodularity of Invariant Random Subgroups [PDF]

, 2015
An invariant random subgroup $H \leq G$ is a random closed subgroup whose law is invariant to conjugation by all elements of $G$. When $G$ is locally compact and second countable, we show that for every invariant random subgroup $H \leq G$ there almost ...
Biringer, Ian, Tamuz, Omer
core   +3 more sources

Period Matrices of Real Riemann Surfaces and Fundamental Domains [PDF]

, 2012
For some positive integers $g$ and $n$ we consider a subgroup $\mathbb{G}_{g,n}$ of the $2g$-dimensional modular group keeping invariant a certain locus $\mathcal{W}_{g,n}$ in the Siegel upper half plane of degree $g$.
Giavedoni, Pietro
core   +6 more sources

Generalizing the GAGA Principle [PDF]

, 2011
This paper generalizes the fundamental GAGA results of Serre cite{MR0082175} in three ways---to the non-separated setting, to stacks, and to families.
Alper, Alper, Artin, Atiyah, Barth, Chow, Deligne, Douady, Fedorchuk, Ferrand, Freitag, Grauert, Grothendieck, Grothendieck, Hall, Hartshorne, Hartshorne, Hassett, Hassett, Hassett, Hyeon, Hyeon, Hyeon, Jack Hall, Knudsen, Kodaira, Laumon, Pourcin, Raynaud, Schubert, Serre, Serre, Smyth, Smyth, Smyth, Toën   +35 more
core   +1 more source

Permutations of Massive Vacua [PDF]

, 2017
We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N=1 supersymmetry that arises upon tracing loops in the space of couplings.
Bourget, Antoine, Troost, Jan
core   +4 more sources

Upper bound on the number of systems of Hecke eigenvalues for Siegel modular forms (mod p) [PDF]

, 2004
We derive an explicit upper bound for the number of systems of Hecke eigenvalues coming from Siegel modular forms (mod p) of dimension g and level N relatively prime to p. In the special case of elliptic modular forms (g=1), our result agrees with recent
Ghitza, Alexandru
core   +1 more source

Integrable systems and modular forms of level 2 [PDF]

, 2006
A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J, Chakravarty, Sarbarsh, Hahn, Heekyoung   +2 more
core   +2 more sources

The non-existence of stable Schottky forms [PDF]

, 2013
Let $A_g^S$ be the Satake compactification of the moduli space $A_g$ of principally polarized abelian $g$-folds and $M_g^S$ the closure of the image of the moduli space $M_g$ of genus $g$ curves in $A_g$ under the Jacobian morphism.
G. Codogni, Igusa, Igusa, Mumford, N. I. Shepherd-Barron, Schottky, Springer   +6 more
core   +2 more sources

Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class

, 2011
Let $G$ be a finite 2-group of maximal nilpotency class, and let $BG$ be its classifying space. We prove that iterated Massey products in $H^*(BG;\F_2)$ do characterize the homotopy type of $BG$ among 2-complete spaces with the same cohomological ...
Ruiz, Albert, Viruel, Antonio
core   +2 more sources