The canonical exact sequence of differential modules for 0-dimensional schemes

Pacific Journal of Mathematics 2026 Open access

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Authors: Tran N. K. Linh, Le Ngoc Long
DOI: 10.2140/pjm.2026.344.47
Cited by: 0

Abstract

Given a 0-dimensional scheme ‫ޘ‬ in ‫ސ‬ n K over a perfect field K , we examine the second differential power of its homogeneous vanishing ideal.This enables us to establish the canonical exact sequence for the associated Kähler differential module.We also provide a formula for the Hilbert polynomial of Kähler differential modules when ‫ޘ‬ is either a fat point scheme or a 0-dimensional locally monomial Gorenstein scheme.

Fields of Study & Subjects

Commutative Algebra and Its Applications Algebraic Geometry and Number Theory Polynomial and algebraic computation

Publication details

Journal / source
Pacific Journal of Mathematics
Volume
344
Issue
1
Pages
47–68
Publication date
10 August 2026
Language
EN