UMassAmherst_Chen

Our project is to prove the non-existence of symplectic curves with specific numbers and types of cusps in the two dimensional complex projective plane. The method we are using involves writing the configuration of the blow-up of the curve in a certain reduced basis of the second homology group, and then eliminating these possibilities using further constraints. If we are successful this project could further elucidate the differences between the symplectic category and the category of algebraic geometry.

Cumulative usage · Jul 2, 2025 – Jul 2, 2026