A Presentation of the Kähler Differential Module for a Fat Point Scheme in ℙn1 × … × ℙnk

Let 핐 be a fat point scheme in ℙn1 × … × ℙnk over a field K of characteristic zero. In this paper we introduce the multi-graded Kähler differential module for 핐 and we establish a short exact sequence of this module in terms of the thickening of 핐.

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Bibliographic Details
Published in:ITM web of conferences 2018-01, Vol.20, p.01007
Main Authors: Linh, Tran N K, Guardo, Elena, Long Le Ngoc
Format: Article
Language:English
Subjects:
Modules
Thickening
Online Access:Get full text
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Description
Summary:Let 핐 be a fat point scheme in ℙn1 × … × ℙnk over a field K of characteristic zero. In this paper we introduce the multi-graded Kähler differential module for 핐 and we establish a short exact sequence of this module in terms of the thickening of 핐.
ISSN:2431-7578
2271-2097
DOI:10.1051/itmconf/20182001007