Toward a toroidal modular compactification of moduli spaces of polarized K3 surfaces.
Siebert, Bernd
Toward a toroidal modular compactification of moduli spaces of polarized K3 surfaces. - Rio de Janeiro: IMPA, 2015. - video online
Talk.
I am reporting on joint work in progress with Mark Gross, Paul Hacking and Sean Keel on the construction of canonical families of polarized K3 surfaces on certain toroidal compactifications of F_g, the moduli space of K3 surfaces of genus g. The construction is based on mirror symmetry and involves walls related to Gromov-Witten theory on the mirror family of F_g, a certain one-dimensional family of lattice polarized K3 surfaces studied by Nikulin, Aspinwall, Voisin and Dolgachev. .
Matematica.
Toward a toroidal modular compactification of moduli spaces of polarized K3 surfaces. - Rio de Janeiro: IMPA, 2015. - video online
Talk.
I am reporting on joint work in progress with Mark Gross, Paul Hacking and Sean Keel on the construction of canonical families of polarized K3 surfaces on certain toroidal compactifications of F_g, the moduli space of K3 surfaces of genus g. The construction is based on mirror symmetry and involves walls related to Gromov-Witten theory on the mirror family of F_g, a certain one-dimensional family of lattice polarized K3 surfaces studied by Nikulin, Aspinwall, Voisin and Dolgachev. .
Matematica.