45 citations · 425 across the 32 of their papers we have counts for
4 papers · 1 filter
Mordell-Weil Torsion, Anomalies, and Phase Transitions
Mboyo Esole, Monica Jinwoo Kang, Shing-Tung Yau
We explore how introducing a non-trivial Mordell-Weil group changes the structure of the Coulomb phases of a five-dimensional gauge theory from an M-theory compactified on an ellip…
The Geometry of G, Spin(7), and Spin(8)-models
Mboyo Esole, Ravi Jagadeesan, Monica Jinwoo Kang
We study the geometry of elliptic fibrations given by Weierstrass models resulting from Step 6 of Tate's algorithm. Such elliptic fibrations have a discriminant locus containing an…
The Geometry of F-Models
Mboyo Esole, Patrick Jefferson, Monica Jinwoo Kang
We study the geometry of elliptic fibrations satisfying the conditions of Step 8 of Tate's algorithm. We call such geometries F-models, as the dual graph of their special fiber…
Euler Characteristics of Crepant Resolutions of Weierstrass Models
Mboyo Esole, Patrick Jefferson, Monica Jinwoo Kang
Based on an identity of Jacobi, we prove a simple formula that computes the pushforward of analytic functions of the exceptional divisor of a blowup of a projective variety along a…