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Boundedness of geometrically integral ε-klt del Pezzo surfaces

Algebraic Geometry, Algebra, Geometry and seminar by Shikha Bhutani, Michigan State University

Hosted by University of New Mexico — Algebra and Geometry Seminar

Wednesday 15:00–15:45 Denver (GMT-6)

Ended

Online

Abstract

Shikha Bhutani proves the outstanding positive-characteristic cases of the Borisov–Alexeev–Borisov conjecture for geometrically integral ε-klt del Pezzo surfaces over arbitrary fields. Earlier work by Bernasconi and Martin established boundedness except in characteristics 2, 3 and 5, reducing those cases to a uniform estimate for irregularity. The talk establishes that estimate and thereby completes the boundedness result across all positive characteristics.

Topics

del Pezzo surfacesboundedness

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