Families of curves and variation in moduli
Abstract
In this paper we study the class of smooth complex projective varieties B such that any modular morphism B → M_g is constant for any g ≥ 2, giving structural properties and examples. Then we investigate the concept of the moduli dimension of a variety B; we bound it by the dimension of the maximal rationally connected quotient of B. In the end we consider also (generically smooth) families of curves of compact type over rational and elliptic curves.Downloads
Published
Issue
Section
License
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.
