References & Citations
Mathematics > Algebraic Geometry
Title: Characterizing gonality for two-component stable curves
(Submitted on 20 Mar 2020)
Abstract: It is a well-known result that a stable curve of compact type over $\mathbb{C}$ having two components is hyperelliptic if and only if both components are hyperelliptic and the point of intersection is a Weierstrass point for each of them. With the use of admissible covers, we generalize this characterization in two ways: for stable curves of higher gonality having two smooth components and one node; and for hyperelliptic and trigonal stable curves having two smooth non rational components and any number of nodes.
Link back to: arXiv, form interface, contact.