June 30, 2024Open Access

Quotients of Jacobians

Key Points

Key points are not available for this paper at this time.

Abstract

We prove that the quotient of Jacobian of a curve whose genus is greater than or equal to 5 under the action of a finite group acting on the curve is never uniruled, and classify all curves of genus 3 and 4 whose quotients of Jacobian is uniruled.

Read Full Paperexternally

AIに質問

Bookmark

View Full Paper

Cite This Study

Raisa Serova (Sun,) studied this question.

synapsesocial.com/papers/68e6278eb6db6435875b9de3 https://doi.org/https://doi.org/10.48550/arxiv.2407.00860

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Explicit <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>7</mml:mn> </mml:math> -torsion in the Tate–Shafarevich groups of genus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>2</mml:mn> </mml:math> Jacobians2025
2Curves with Jacobian syzygies of the same degree2024
3On Galois covers of curves and arithmetic of Jacobians2024
4ON A CERTAIN LIE RING DEFINED ON THE DIVISOR CLASS GROUP OF A COMPLETE NON-SINGULAR AIGEBRAIC CURVE AND DECOMPOSITION OF ITS JACOBIAN VARIETY
5Constructing Jacobians of rank 12026

AIに質問

Bookmark

View Full Paper