We show, building on a recent work of Totaro (The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay, 2017. arXiv:1710.04364v1), that for every prime number p >= 3 there exists a purely log terminal pair (Z, S) of dimension 2p + 2 whose plt centre S is not normal.
Non-normal purely log terminal centres in characteristic p >= 3 / Bernasconi, F. - In: EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 2199-675X. - 5:4(2019), pp. 1242-1251. [10.1007/s40879-018-00310-7]
Non-normal purely log terminal centres in characteristic p >= 3
Bernasconi F
2019
Abstract
We show, building on a recent work of Totaro (The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay, 2017. arXiv:1710.04364v1), that for every prime number p >= 3 there exists a purely log terminal pair (Z, S) of dimension 2p + 2 whose plt centre S is not normal.File allegati a questo prodotto
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