Parabolic sheaves on logarithmic schemes

被引：41
|
作者：
Borne, Niels [1 ]
Vistoli, Angelo [2 ]
机构：
[1] Univ Lille, Lab Paul Painleve, UMR CNRS 8524, UFR Math, F-59655 Villeneuve Dascq, France
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
来源：
ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 3-4期
关键词：
Log scheme; Algebraic stack; Parabolic bundle; ALGEBRAS; BUNDLES; THEOREM; STACKS; MODULI;
D O I：
10.1016/j.aim.2012.06.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show how the natural context for the definition of parabolic sheaves on a scheme is that of logarithmic geometry. The key point is a reformulation of the concept of logarithmic structure in the language of symmetric monoidal categories, which might be of independent interest. Our main result states that parabolic sheaves can be interpreted as quasi-coherent sheaves on certain stacks of roots. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1327 / 1363
页数：37
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