Geodesic
A modular compactification of the general linear group
Documenta mathematica, Tome 5 (2000), pp. 553-594.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We define a certain compactifiction of the general linear group and give a modular description for its points with values in arbitrary schemes. This is a first step in the construction of a higher rank generalization of Gieseker's degeneration of moduli spaces of vector bundles over a curve. We show that our compactification has similar properties as the "wonderful compactification" of algebraic groups of adjoint type as studied by de Concini and Procesi. As a byproduct we obtain a modular description of the points of the wonderful compactification of ${PGl}_n$.
Classification : 14H60, 14M15, 20G
Keywords: moduli of vector bundles on curves, modular compactification, general linear group 
@article{DOCMA_2000__5__a5,
     author = {Kausz, Ivan},
     title = {A modular compactification of the general linear group},
     journal = {Documenta mathematica},
     pages = {553--594},
     publisher = {mathdoc},
     volume = {5},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a5/}
}
TY  - JOUR
AU  - Kausz, Ivan
TI  - A modular compactification of the general linear group
JO  - Documenta mathematica
PY  - 2000
SP  - 553
EP  - 594
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a5/
LA  - en
ID  - DOCMA_2000__5__a5
ER  - 
%0 Journal Article
%A Kausz, Ivan
%T A modular compactification of the general linear group
%J Documenta mathematica
%D 2000
%P 553-594
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a5/
%G en
%F DOCMA_2000__5__a5
Kausz, Ivan. A modular compactification of the general linear group. Documenta mathematica, Tome 5 (2000), pp. 553-594. http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a5/