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Algebraic Geometry Seminar - Adrian Neff

Ohio State Garden of Constants
August 26, 2025
10:20 am - 11:15 am
Math Tower (MW) 154

Adrian Neff
The Ohio State University

Title
Residues and contractions of genus one curves

Abstract
Given a nodal genus one curve and a proper subcurve of genus one, we will construct a contraction that collapses the subcurve to a genus one singularity. We will do this by first introducing residues for curves over local artinian rings and "twists" of these residues by tropical data from the curve, then we will use these residues to explicitly construct the contraction.

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Seminar - Algebraic Geometry