Speaker: David Swinarski
Fordham University
Will give a Algebraic Geometry and Commutative Algebra Seminar entitled:
Singular curves in Mukai's model of M̅7
Abstract:
In 1995 Mukai showed that a general smooth genus 7 curve can be realized as the intersection of the orthogonal Grassmannian OG(5,10) in P15 with a six-dimensional projective linear subspace, and that the GIT quotient Gr(7,16)//Spin(10) is a birational model of the moduli space of curves M̅7. Which singular objects appear on the boundary of Mukai's model? As a first step in this study, calculations in Macaulay2 and Magma are used to find and analyze linear spaces yielding three singular curves: a 7-cuspidal curve, the balanced ribbon of genus 7, and a family of genus 7 graph curves.
Date: 10-11-2024
Time: 3:00 pm
Location: 258 Hurley Bldg