论文标题
在矩形的植物几何形状上
On the birational geometry of matroids
论文作者
论文摘要
本文研究了尊重不同风扇结构的伯格曼粉丝的同构，我们认为这是Birational Maps的Matroid类似物。我们表明，尊重粉丝结构的同构是由成型同构诱导的。我们介绍了伯格曼风扇粗糙结构的Cremona自动形态，这些结构并非由Matroid自动形态引起。我们表明，在级别3矩形的情况下，粗扇结构的自动形态组是由矩形自动形态和cremona图生成的，这些矩形不是平行的连接，并且用于模块化的矩阵。
This paper investigates isomorphisms of Bergman fans of matroids respecting different fan structures, which we regard as matroid analogs of birational maps. We show that isomorphisms respecting the fine fan structure are induced by matroid isomorphisms. We introduce Cremona automorphisms of the coarse structure of Bergman fans, which are not induced by matroid automorphisms. We show that the automorphism group of the coarse fan structure is generated by matroid automorphisms and Cremona maps in the case of rank 3 matroids which are not parallel connections and for modularly complemented matroids.
