A Family of Birational Models of Generalized Kummer Varieties as Coverings of a Projective 4-Space

Explore a seminar from the Brazilian Algebraic Geometry Seminar (BRAG) featuring Samuel Boissière from the University of Poitiers discussing "A family of birational models of generalized Kummer varieties as coverings of a projective 4-space." Discover this collaborative work with Gregory Sankaran and Marc Nieper-Wisskirchen that constructs birational models of generalized Kummer varieties using degree 15 ramified coverings of the projective 4-space. Learn about the geometric interpretation of the group law on the Jacobian of a genus 2 curve and understand the challenges beyond this construction. This 56-minute mathematical lecture was presented at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro in March 2021.