3 papers
math.AC2024
Hilbert-Kunz Multiplicity of Fiber Product Rings and Nagata Idealizations
Victor H. Jorge-Pérez, Paulo D. C. Martins, J. A. Lima
The main purpose of this paper is to provide formulas for the Hilbert-Kunz multiplicity of fiber product rings and Nagata idealizations. We give explicit formulas for the Hilbert-K…
math.AG2024
On the Gluing of germs of complex analytic spaces, Betti numbers and their structure
T. H. Freitas, J. A. Lima
In this paper we introduce new classes of gluing of complex analytic spaces germs, called weakly large, large and strongly large. We give a description of their Poincaré series and…
math.AC2024
On General fiber product rings, Poincaré series and their structure
T. H. Freitas, J. A. Lima
The present paper deals with the investigation of the structure of general fiber product rings , where , and are local rings with common residue field. We sh…