THE SCHEME OF FORMAL CURVES ON AN ABELIAN VARIETY

Fernando Pablos Romo

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THE SCHEME OF FORMAL CURVES ON AN ABELIAN VARIETY

机译：阿贝尔品种的形式曲线方案

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摘要

Let X be an abelian variety defined over an algebraically closed field k of arbitrary characteristic. The aim of this note is to show that the scheme CX, which parametrizes germs of formal curves on X, is the Picard scheme of a formal scheme.

机译：令X为在任意特征的代数封闭场k上定义的阿贝尔变种。本注释的目的是表明，对X上形式曲线的胚进行参数化的方案CX是形式方案的Picard方案。

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《Journal of algebra and its applications》 |2006年第1期|共9页
作者
Fernando Pablos Romo;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Formal scheme; abelian variety; Picard scheme; Witt group; arc space;

机译：形式方案;阿贝尔变种;卡片方案;维特群;弧空间;

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专利

1. THE SCHEME OF FORMAL CURVES ON AN ABELIAN VARIETY [J] . Fernando Pablos Romo Journal of algebra and its applications . 2006,第1期

机译：阿贝尔品种的形式曲线方案
2. Honda Theory for Formal Groups of Abelian Varieties over $mathbb Q$ of $mathbf GL_{2}$-Type [J] . Miyasaka Yuken, Shinjo Hirokazu Journal of mathematical sciences, The University of Tokyo . 2014,第2期

机译：针对$ mathbf的$ mathbb Q $的Abelian品种正式团体的Honda理论GL_ {2} $-类型
3. Honda Theory for Formal Groups of Abelian Varieties over $mathbb Q$ of $mathbf GL_{2}$-Type [J] . Miyasaka Yuken, Shinjo Hirokazu Journal of mathematical sciences, The University of Tokyo . 2014,第2期

机译：针对$ mathbf的$ mathbb Q $的Abelian品种正式团体的Honda理论GL_ {2} $-类型
4. The geometry of the moduli space of curves and abelian varieties [C] . Orsola Tommasi Summer Research Institute on Algebraic Geometry . 2017

机译：曲线和雅中曲线模型空间的几何形状
5. Homological Mirror Symmetry for the Genus 2 Curve in an Abelian Variety and Its Generalized Strominger-Yau-Zaslow Mirror [D] . Cannizzo, Catherine Kendall Asaro. 2019

机译：Abelian品种中2曲线的同源镜对称及其广义Strominger-yau-Zaslow镜子
6. On the Quotient Variety of an Abelian Variety [O] . Wei-Liang Chow 1952

机译：关于阿贝尔变种的商变
7. Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves [O] . Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama 2013

机译：对数abelian品种，III：对数椭圆曲线和模块化曲线
8. Intrinsic Heights of Stable Varieties. Application to Abelian Varieties [R] . Bost, J. B. 1994

机译：稳定品种的内在高度。适用于阿贝尔品种

THE SCHEME OF FORMAL CURVES ON AN ABELIAN VARIETY

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