Morelli-Włodarczyk cobordism and examples of rooftop flips.

Autor: Barban, Lorenzo, Franceschini, Alberto
Zdroj: Collectanea Mathematica; Sep2024, Vol. 75 Issue 3, p841-855, 15p
Abstrakt: We introduce the notion of rooftop flip, namely a small modification among normal projective varieties which is modeled by a smooth projective variety of Picard number 2 admitting two projective bundle structures. Examples include the Atiyah flop and the Mukai flop, modeled respectively by P 1 × P 1 and by P T P 2 . Using the Morelli-Włodarczyk cobordism, we prove that any smooth projective variety of Picard number 1, endowed with a C ∗ -action with only two fixed point components, induces a rooftop flip. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index