Geodesic
A higher-dimensional generalization of Mumford's rational pullback for Weil divisors
Journal of Singularities, Tome 19 (2019), pp. 53-60

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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.
DOI : 10.5427/jsing.2019.19d
Classification : 14E05, 14C20, 14A15 
@article{10_5427_jsing_2019_19d,
     author = {Stefan Schr\"oer},
     title = {A higher-dimensional generalization of {Mumford's} rational pullback for {Weil} divisors},
     journal = {Journal of Singularities},
     pages = {53--60},
     publisher = {mathdoc},
     volume = {19},
     year = {2019},
     doi = {10.5427/jsing.2019.19d},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2019.19d/}
}
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Stefan Schröer. A higher-dimensional generalization of Mumford's rational pullback for Weil divisors. Journal of Singularities, Tome 19 (2019), pp. 53-60. doi: 10.5427/jsing.2019.19d

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