COMBINED COUNT OF REAL RATIONAL CURVES OF CANONICAL DEGREE 2 ON REAL DEL PEZZO SURFACES WITH

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2021-07-14 DOI:10.1017/s1474748022000317

S. Finashin, V. Kharlamov

引用次数: 1

Abstract

We propose two systems of “intrinsic” weights for counting such curves. In both cases the result acquires an exceptionally strong invariance property: it does not depend on the choice of a surface. One of our counts includes all divisor classes of canonical degree 2 and gives in total 30. The other one excludes the class $-2K$ , but adds up the results of counting for a pair of real structures that differ by Bertini involution. This count gives 96.

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实数曲面上典型次为2的实数有理曲线的组合计数

我们提出了两个“内在”权重系统来计算这种曲线。在这两种情况下，结果都具有异常强的不变性：它不取决于曲面的选择。我们的一个计数包括规范度为2的所有除数类，总共给出30。另一个排除了类$-2K$，但将一对因Bertini对合而不同的实结构的计数结果相加。这个数字是96。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.