The Covenant Never Revoked: Biblical Reflections on a Christian-Jewish Dialogue

Reviewed Book: Lohfink, Norbert. The Covenant Never Revoked: Biblical Reflections on a Christian-Jewish Dialogue. Mahwah, NJ: Paulist Press, 1991

Igusa's p-adic local zeta function associated to a polynomial mapping and a polynomial integration measure

For p prime, we give an explicit formula for Igusa's local zeta function associated to a polynomial mapping f=(f_1,...,f_t): Q_p^n -> Q_p^t, with f_1,...,f_t in Z_p[x_1,...,x_n], and an integration measure on Z_p^n of the form |g(x)||dx|, with g another polynomial in Z_p[x_1,...,x_n]. We treat the special cases of a single polynomial and a monomial ideal separately. The formula is in terms of Newton polyhedra and will be valid for f and g sufficiently non-degenerated over F_p with respect to their Newton polyhedra. The formula is based on, and is a generalization of results of Denef - Hoornaert, Howald et al., and Veys - Zuniga-Galindo.Comment: 20 pages, 5 figures, 2 table

Finding Leaders for Tomorrow\u27s Churches: The Growing Crisis in Clergy Recruitment

Reviewed Book: Oswald, Roy M. Finding Leaders for Tomorrow\u27s Churches: The Growing Crisis in Clergy Recruitment. Washington, DC: Alban Inst, 1993

On motivic principal value integrals

Inspired by p-adic (and real) principal value integrals, we introduce motivic principal value integrals associated to multi-valued rational differential forms on smooth algebraic varieties. We investigate the natural question whether (for complete varieties) this notion is a birational invariant. The answer seems to be related to the dichotomy of the Minimal Model Program.Comment: 14 page