Results 1 to 10 of about 7,662 (196)

Moduli problem of Hitchin pairs over Deligne-Mumford stacks [PDF]

Proceedings of the American Mathematical Society, 2021
We define the moduli problem of Hitchin pairs over Deligne- Mumford stacks and prove this moduli problem is represented by a separated and locally finitely-presented algebraic space, which is considered as the moduli space of Hitchin pairs over a Deligne-Mumford stack.
Hao Sun
  +7 more sources

The moduli stack of parabolic bundles over the projective line, quiver representations, and the Deligne-Simpson problem [PDF]

, 2013
reformatted bibliography, corrected multiple typos and ...
Alexander Soibelman
  +5 more sources

Formal moduli problems and formal derived stacks [PDF]

, 2018
This paper presents a survey on formal moduli problems. It starts with an introduction to pointed formal moduli problems and a sketch of proof of a Theorem (independently proven by Lurie and Pridham) which gives a precise mathematical formulation for Drinfeld's derived deformation theory philosophy, which gives a correspondence between formal moduli ...
Calaque, Damien, Grivaux, Julien
openaire   +3 more sources

Toric Stacks I: The Theory of Stacky Fans [PDF]

, 2014
The purpose of this paper and its sequel (Toric Stacks II) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, BCS05, FMN10, Iwa09, Sat12, Tyo12], as well as classical toric ...
Geraschenko, Anton, Satriano, Matthew
core   +2 more sources

Group Compactifications and Moduli Spaces [PDF]

, 2017
We give a summary of joint work with Michael Thaddeus that realizes toroidal compactifcations of split reductive groups as moduli spaces of framed bundles on chains of rational curves.
Martens, Johan
core   +3 more sources

The supersymmetric standard model from the Z_6' orientifold? [PDF]

, 2006
We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order
Bailin, David, Love, Alex
core   +4 more sources

Moduli stacks of algebraic structures and deformation theory [PDF]

, 2015
We connect the homotopy type of simplicial moduli spaces of algebraic structures to the cohomology of their deformation complexes. Then we prove that under several assumptions, mapping spaces of algebras over a monad in an appropriate diagram category ...
Yalin, Sinan
core   +1 more source

The dual boundary complex of the $SL_2$ character variety of a punctured sphere [PDF]

, 2015
Suppose $C_1,\ldots , C_k$ are generic conjugacy classes in $SL_2({\mathbb C})$. Consider the character variety of local systems on ${\mathbb P}^1-\{ y_1,\ldots , y_k\}$ whose monodromy transformations around the punctures $y_i$ are in the respective ...
Simpson, Carlos
core   +6 more sources

Note on local structure of Artin stacks [PDF]

, 2010
In this note we show that an Artin stack with finite inertia stack is etale locally isomorphic to the quotient of an affine scheme by an action of a general linear ...
Iwanari, Isamu
core   +3 more sources

Good reduction of Fano threefolds and sextic surfaces [PDF]

, 2017
We investigate versions of the Shafarevich conjecture, as proved for curves and abelian varieties by Faltings, for other classes of varieties. We first obtain analogues for certain Fano threefolds. We use these results to prove the Shafarevich conjecture
Javanpeykar, Ariyan, Loughran, Daniel
core   +2 more sources