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Back to Algebraic Geometry Seminar: Fall 2025

Algebraic Geometry Seminar


Date: Tuesday, Nov 18, 2025

Time: 3:30PM - 4:30PM

Location: LCB 323


Shikha Bhutani

Michigan State University

Title

On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo Type over Imperfect Fields

Abstract

Vanishing theorems are foundational tools in the Log Minimal Model Program, with the Kawamata-Viehweg Vanishing Theorem being one of the most important. However, these fail in positive characteristics. Fano varieties and their log generalizations are expected to behave better in this setting. In this talk, we prove the Kawamata–Viehweg vanishing theorem for surfaces of del Pezzo type over imperfect fields of characteristic p>5 and discuss consequences to threefold singularities.

Algebraic Geometry

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