The monodromy divisor of an exact algebraic Lagrangian

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2026-04-01 Epub Date: 2026-02-12 DOI:10.1016/j.aim.2026.110851

Christopher Dodd

引用次数: 0

Abstract

We construct and study a new invariant, the monodromy divisor, attached to a smooth exact Lagrangian subvariety inside the cotangent bundle of a smooth affine variety. This invariant lives in a group of

Q / Z

-valued divisors and reflects subtle arithmetic properties of the Lagrangian.

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精确代数拉格朗日的单除数

构造并研究了光滑仿射变体的余切束内光滑精确拉格朗日子变体的一个新的不变量——单除数。这个不变量存在于一组Q/ z值因子中，反映了拉格朗日的微妙算术性质。

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

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.