On some modular contractions of the moduli space of stable pointed curves

Abstract

The aim of this paper is to study some modular contractions of the moduli space of stable pointed curves. These new moduli spaces, which are modular compactifications of the moduli space of smooth pointed curves, are related with the minimal model program for the moduli space of stable pointed curves and have been introduced in a previous work of the authors. We interpret them as log canonical models of adjoints divisors and we then describe the Shokurov decomposition of a region of boundary divisors on the moduli space of stable pointed curves.

30 pages, 1 figure. To appear on Algebra and Number Theory

References in corpus (2)

• Alternate Compactifications of Moduli Spaces of Curves
• On the Picard group scheme of the moduli stack of stable pointed curves

Cited by in corpus (1)

• Modular compactifications of ${\mathcal{M}}_{2,n}$ with Gorenstein singularities