ABSTRACT |
Supergeometry is Z_2-graded generalization of ordinary geometry inspired by SUSY in physics. Some definitions and properties of ordinary geometry can be naturally extended to supergeometry. However, there still are many properties of super spaces that ordinary spaces do not have. We will explore interesting examples that show differences between ordinary spaces and super spaces. Also, I will introduce super generalization of toric varieties and show that it is related to positivity of toric vector bundles. |