Details:
Title  Kähler differentials and Kähler differents for fat point schemes  Author(s)  Nicola Galesi, Martin Kreuzer, N.K. Linh Tran  Type  Article in Journal  Abstract  Abstract Given a fat point scheme W = m 1 P 1 + ⋯ + m s P s in a projective space P n over a field K, we study the module of Kähler differentials and the Kähler differents of its homogeneous coordinate ring R W . We describe the Hilbert functions and Hilbert polynomials of these objects and bound their index of regularity. For special cases, in particular if the support of W is a complete intersection or has some kind of uniformity, or if n = 4 , we present more detailed results, including proofs of the Segre bound for certain fat point schemes in P 4 .  ISSN  00224049 
URL 
http://www.sciencedirect.com/science/article/pii/S0022404915000559 
Language  English  Journal  Journal of Pure and Applied Algebra  Volume  219  Number  10  Pages  4479  4509  Year  2015  Edition  0  Translation 
No  Refereed 
No 
