无穷远处的曲面和半群

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-28 DOI:arxiv-2408.15931

C. Galindo, F. Monserrat, C. -J. Moreno-Ávila, J. -J. Moyano-Fernández

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引用次数: 0

摘要

我们介绍无穷远处的曲面，这是一类与曲线相连的有理曲面，在无穷远处只有一个位置。这些曲面的曲线锥是无限多面体且最小生成的。我们还介绍了无穷远曲面的$\delta$-半群，并考虑了具有相同$\delta$-半群的无穷远曲面的集合$\mathcal{S}$。我们将研究$\mathcal{S}$中曲面曲线锥的生成器的行为。

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Surfaces and semigroups at infinity

We introduce surfaces at infinity, a class of rational surfaces linked to curves with only one place at infinity. The cone of curves of these surfaces is finite polyhedral and minimally generated. We also introduce the $\delta$-semigroup of a surface at infinity and consider the set $\mathcal{S}$ of surfaces at infinity having the same $\delta$-semigroup. We study how the generators of the cone of curves of surfaces in $\mathcal{S}$ behave.

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arXiv - MATH - Commutative Algebra

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