A higher-dimensional generalization of Mumford's rational pullback for Weil divisors

Stefan Schröer

Journal of Singularities
volume 19 (2019), 53-60

Received: 29 October 2018. Received in revised form: 11 June 2019

DOI: 10.5427/jsing.2019.19d

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Abstract:

Mumford defined a rational pullback for Weil divisors on normal surfaces, which is linear, respects effectivity, and satisfies the projection formula. In higher dimensions, the existence of small resolutions of singularities precludes such general results. We single out a higher-dimensional situation that resembles the surface case and show for it that a rational pullback for Weil divisors exists, which is also linear, respects effectivity, and satisfies the projection formula.


2010 Mathematical Subject Classification:

14E05, 14C20, 14A15


Author(s) information:

Stefan Schröer
Mathematisches Institut
Heinrich-Heine-Universität
40204 Düsseldorf, Germany
email: schroeer@math.uni-duesseldorf.de