The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay

DOI10.1090/jag/724zbMath1441.14138arXiv1710.04364OpenAlexW2966410853WikidataQ127777252 ScholiaQ127777252MaRDI QIDQ5227550

Burt Totaro

Publication date: 6 August 2019

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04364

zbMATH Keywords

singularitiesFano varietiespositive characteristicminimal model programvanishing theoremshomogeneous varieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Singularities in algebraic geometry (14B05) Vanishing theorems in algebraic geometry (14F17) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (15)

On convergence of stringy motives of wild pⁿ-cyclic quotient singularities ⋮ On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic ⋮ Coregularity of Fano varieties ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Bott-Samelson-Demazure-Hansen varieties for projective homogeneous varieties with nonreduced stabilizers ⋮ On rank one log del Pezzo surfaces in characteristic different from two and three ⋮ Arithmetically rigid schemes via deformation theory of equivariant vector bundles. ⋮ Non-normal purely log terminal centres in characteristic \(p \geqslant 3\) ⋮ New directions in the minimal model program ⋮ Non-Cohen-Macaulay canonical singularities ⋮ Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3 ⋮ Kawamata-Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields of characteristic \(p> 3\) ⋮ The wild McKay correspondence for cyclic groups of prime power order ⋮ On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic

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