Finitary decidability implies congruence permutability for congruence modular varieties

1992 ◽  
Vol 29 (3) ◽  
pp. 441-448 ◽  
Author(s):  
Joohee Jeong
Keyword(s):  
Congruence Permutability ◽  
Modular Varieties

ON SIEGEL MODULAR VARIETIES OF LEVEL 3

1991 ◽  
Vol 02 (01) ◽  
pp. 17-35 ◽  
Author(s):  
TOMOYOSHI IBUKIYAMA
Keyword(s):  
Level 3 ◽  
Modular Varieties

scholarly journals COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$

2012 ◽  
Vol 23 (04) ◽  
pp. 1250037 ◽  
Author(s):  
MICHELE BOLOGNESI ◽  
SONIA BRIVIO
Keyword(s):  
Moduli Spaces ◽  
Vector Bundles ◽  
Low Rank ◽  
Coherent Systems ◽  
Projective Varieties ◽  
Complex Curve ◽  
Smooth Complex ◽  
Moduli Theory ◽  
Modular Varieties ◽  
Small Genus

Let C be an algebraic smooth complex curve of genus g > 1. The object of this paper is the study of the birational structure of certain moduli spaces of vector bundles and of coherent systems on C and the comparison of different type of notions of stability arising in moduli theory. Notably we show that in certain cases these moduli spaces are birationally equivalent to fibrations over simple projective varieties, whose fibers are GIT quotients (ℙr-1)rg// PGL (r), where r is the rank of the considered vector bundles. This allows us to compare different definitions of (semi-)stability (slope stability, α-stability, GIT stability) for vector bundles, coherent systems and point sets, and derive relations between them. In certain cases of vector bundles of low rank when C has small genus, our construction produces families of classical modular varieties contained in the Coble hypersurfaces.

Modular Varieties with Level 2 Theta Structure

1994 ◽  
Vol 116 (6) ◽  
pp. 1489 ◽  
Author(s):  
Riccardo Salvati Manni
Keyword(s):  
Modular Varieties ◽  
Level 2

Cohomology of the boundary of Siegel modular varieties of degree two, with applications

2003 ◽  
Vol 178 (1) ◽  
pp. 1-47
Author(s):  
J. William Hoffman ◽  
Steven H. Weintraub
Keyword(s):  
Modular Varieties
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