English

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

Algebraic Geometry 2023-07-11 v3

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.

Keywords

Cite

@article{arxiv.2205.08190,
  title  = {Geometric realizations of birational transformations via $\mathbb{C}^*$-actions},
  author = {Gianluca Occhetta and Eleonora A. Romano and Luis E. Solá Conde and Jarosław A. Wiśniewski},
  journal= {arXiv preprint arXiv:2205.08190},
  year   = {2023}
}
R2 v1 2026-06-24T11:19:35.595Z