A Note on Projectivized Tangent Cone Quadrics of a Prym Canonical Curve

TL;DR

This paper investigates the properties of projectivized tangent cone quadrics of Prym canonical curves, providing partial analogues of a key theorem for quadrics of rank up to 4.

Contribution

It introduces new partial analogues of a theorem for Prym canonical curves focusing on quadrics of rank ≤ 4.

Findings

Partial analogues of theorem 1.1 established for rank ≤ 4 quadrics

Insights into the structure of tangent cone quadrics in Prym varieties

Advances understanding of Prym canonical curves and their quadrics

Abstract

Throughout the paper, among other esults, we give partial analogues of theorem 1.1 for projectivized tangent cone quadrics of rank equal or less than 4, for Prymians.