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arXiv · 2509.18397

On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields

Shikha Bhutani
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Abstract

We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over imperfect fields of characteristic $p > 5$. As a consequence, we deduce the Grauert-Riemenschneider vanishing theorem for excellent divisorial log terminal threefolds whose closed points have (possibly imperfect) residue fields of positive characteristic $p > 5$. Finally, under this setup, we show that three-dimensional klt singularities are rational.

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Shikha Bhutani. 2025-09-22. On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields. https://arxiv.org/abs/2509.18397

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