Geometric realizations of birational transformations via ${\mathbb{C}}^{\ast }$-actions

Abstract

In this paper we study varieties admitting torus actions as geometric realizations of birational transformations. We present an explicit construction of these geometric realizations for a particular class of birational transformations, and study some of their geometric properties, such as their Mori, Nef and Movable cones.

References in corpus (3)

• Small modifications of Mori dream spaces arising from ${\mathbb{C}}^{\ast }$-actions
• Small bandwidth ${\mathbb{C}}^{\ast }$-actions and birational geometry
• High rank torus actions on contact manifolds