• A
  • A
  • A
  • АБB
  • АБB
  • АБB
  • А
  • А
  • А
  • А
  • А
Обычная версия сайта

Статья

Universal Cohomological Expressions for Singularities in Families of Genus 0 Stable Maps

International Mathematical Research Notices. 2018. No. 22. P. 6817-6843.
Kazaryan M., Zvonkine D., Lando S.

We consider families of curve-to-curve maps that have no singularities except those of genus 0 stable maps and that satisfy a versality condition at each singularity. We provide a universal expression for the cohomology class Poincaré dual to the locus of any given singularity. Our expressions hold for any family of curve-to-curve maps satisfying the above properties.