Add to ORKGABSTRACT. This is a survey paper about moduli spaces that have a natural struc-ture of a (possibly incomplete) locally symmetric variety. We outline the Baily-Borel compactification for such varieties and compare it with the compactifications fur-nished by techniques in algebraic geometry. These differ in general, but we show that a reconciliation is possible by means of a generalization of the Baily-Borel technique for a class of incomplete locally symmetric varieties. The emphasis is here on moduli spaces of varieties other than that of polarized abelian varieties. To Professor Shigeru Mukai on the occasion of his 60th birthday 1
The classic presentation of a universal method for the resolution of a class of singularities in alg...
By work of Looijenga and others, one understands the relationship between Geometric Invariant Theory...
A number of compactifications familiar in complex-analytic geometry, in particular, the Baily-Borel ...
This volume presents the construction of canonical modular compactifications of moduli spaces for po...
• Hermitian symmetric manifolds (HSMs) and their decomposition into eu-clidean, compact and non-comp...
In this paper we realize the moduli spaces of cubic fourfolds with specified automorphism groups as ...
Looijenga has introduced new compactifications of locally symmetric va- rieties that give a complete...
In previous work, we have introduced a program aimed at studying the birational geometry of locally ...
In this note we prove that a principally polarized abelian variety of dimension g ≤ 3 is the canonic...
In this paper, we identify the greatest common quotient (GCQ) of the Borel-Serre compactification an...
Over a field of positive characteristic p, we consider moduli spaces of polarized abelian varieties ...
Let G be a semisimple algebraic group of adjoint type, let H be a subgroup of G, that is fixed under...
We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroid...
AbstractStarting from a beautiful idea of Kanev, we construct a uniformization of the moduli space?6...
We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as...
The classic presentation of a universal method for the resolution of a class of singularities in alg...
By work of Looijenga and others, one understands the relationship between Geometric Invariant Theory...
A number of compactifications familiar in complex-analytic geometry, in particular, the Baily-Borel ...
This volume presents the construction of canonical modular compactifications of moduli spaces for po...
• Hermitian symmetric manifolds (HSMs) and their decomposition into eu-clidean, compact and non-comp...
In this paper we realize the moduli spaces of cubic fourfolds with specified automorphism groups as ...
Looijenga has introduced new compactifications of locally symmetric va- rieties that give a complete...
In previous work, we have introduced a program aimed at studying the birational geometry of locally ...
In this note we prove that a principally polarized abelian variety of dimension g ≤ 3 is the canonic...
In this paper, we identify the greatest common quotient (GCQ) of the Borel-Serre compactification an...
Over a field of positive characteristic p, we consider moduli spaces of polarized abelian varieties ...
Let G be a semisimple algebraic group of adjoint type, let H be a subgroup of G, that is fixed under...
We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroid...
AbstractStarting from a beautiful idea of Kanev, we construct a uniformization of the moduli space?6...
We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as...
The classic presentation of a universal method for the resolution of a class of singularities in alg...
By work of Looijenga and others, one understands the relationship between Geometric Invariant Theory...
A number of compactifications familiar in complex-analytic geometry, in particular, the Baily-Borel ...