G-marked moduli spaces

Abstract

The aim of this paper is to investigate the closed subschemes of moduli spaces corresponding to projective varieties which admit an effective action by a given finite group G. To achieve this, we introduce the moduli functorGorenstein canonical models with Hilbert polynomial h, and prove the existence of M h [G], the coarse moduli scheme for M G h . Then we show that M h [G] has a proper and finite morphism onto M h so that its image M h (G) is a closed subscheme. In the end we obtain the canonical representation type decomposition D h [G] of M h [G] and use D h [G] to study the structure of M h [G].

Smooth covers of moduli stacks of Riemann surfaces with symmetry

“…[7][8][9][10]). Similar loci in the moduli space of higher dimensional varieties have been studied in [11].…”

Smooth covers of moduli stacks of Riemann surfaces with symmetry

“…[Cat15], [FG16], [Cat17], [LLR20]). Similar loci in the moduli space of higher dimensional varieties have been studied in [Li18].…”

Star power as quality signal or marketing effect? A path analysis on China's motion‐picture industry

“…Sina Weibo is a Chinese micro‐blogging website launched by Sina Corporation in 2009 (Ma et al, 2017). This website is similar to a hybrid of Twitter and Facebook, and is one of the most popular sites in China, with over 500 million registered users (Tian et al, 2018) and 441 million monthly active users in 2018, 93% of whom access the social networking site through mobile devices (Li, 2018). The factor score of the SP variable was derived by analysing six measures of SP from the Sina Weibo website using a principal component analysis: the number of registered fans of the chief actors (SPcm), chief actresses (SPcf), supporting actors (SPsm), supporting actresses (SPsf), directors (SPd), and guest stars (SPg).…”