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arXiv · 2205.08190

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

Gianluca Occhetta·Eleonora A. Romano·Luis E. Solá Conde·Jarosław A. Wiśniewski
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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.

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Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde, Jarosław A. Wiśniewski. 2022-05-17. Geometric realizations of birational transformations via $\mathbb{C}^*$-actions. https://doi.org/10.1007/s00209-023-03291-w

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