8 citations · 14 across the 10 of their papers we have counts for
19 papers
On the projectivity of compactified universal Jacobians
Filippo Viviani
We classify the compactified universal Jacobian spaces that are projective over the moduli stack of stable pointed curves.
The Hassett-Keel program via -stability
Luca Tasin, Filippo Viviani
We study the intrinsic notion of -stability for curves arising from the Beyond GIT approach to moduli spaces. We show that it recovers Deligne-Mumford stability for …
Tropicalization of the universal Jacobian
Margarida Melo, Samouil Molcho, Martin Ulirsch +1
In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process o…
Slope inequalities for KSB-stable and K-stable families
Giulio Codogni, Luca Tasin, Filippo Viviani
We prove some higher dimensional generalizations of the slope inequality originally due to G. Xiao, and to M. Cornalba and J. Harris. We give applications to families of KSB-stable…
The Picard group of the universal moduli stack of principal bundles on pointed smooth curves II
Roberto Fringuelli, Filippo Viviani
In this paper, which is a sequel of arXiv:2002.07494, we investigate, for any reductive group over an algebraically closed field , the Picard group of the universal moduli s…
On the Picard group scheme of the moduli stack of stable pointed curves
Roberto Fringuelli, Filippo Viviani
The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme. As a byprodu…