Ekedahl-Oort strata on the moduli space of curves of genus four
Zijian Zhou
TL;DR
This paper investigates the structure of Ekedahl-Oort strata within the moduli space of genus four curves over fields of positive characteristic, revealing insights into their geometric and arithmetic properties.
Contribution
It introduces a detailed analysis of the Ekedahl-Oort stratification specific to genus four curves, expanding understanding of their moduli space in positive characteristic.
Findings
Identification of the stratification pattern for genus four curves
Description of the geometric properties of each stratum
Insights into the arithmetic implications of the stratification
Abstract
We study the induced Ekedahl-Oort stratification on the moduli of curves of genus 4 in positive characteristic.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research