Caviglia, Giulio; Murai, Satoshi Sharp upper bounds for the Betti numbers of a given Hilbert polynomial. (English) Zbl 1281.13009 Algebra Number Theory 7, No. 5, 1019-1064 (2013). Reviewer: Thanh Vu (Berkeley) MSC: 13D02 13D40 PDFBibTeX XMLCite \textit{G. Caviglia} and \textit{S. Murai}, Algebra Number Theory 7, No. 5, 1019--1064 (2013; Zbl 1281.13009) Full Text: DOI arXiv
Mermin, Jeff; Murai, Satoshi Betti numbers of lex ideals over some Macaulay-lex rings. (English) Zbl 1195.13023 J. Algebr. Comb. 31, No. 2, 299-318 (2010). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F20 13F55 13P10 PDFBibTeX XMLCite \textit{J. Mermin} and \textit{S. Murai}, J. Algebr. Comb. 31, No. 2, 299--318 (2010; Zbl 1195.13023) Full Text: DOI