Publications [#384261] of Stefano Filipazzi

Papers Published

1. Filipazzi, S; Inchiostro, G, MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS, Journal of Algebraic Geometry, vol. 33 no. 2 (January, 2024), pp. 347-399 [doi]
   (last updated on 2026/01/20)

   Abstract:
   We develop a framework to construct moduli spaces of Q-Gorenstein pairs. To do so, we fix certain invariants; these choices are encoded in the notion of Q-stable pair. We show that these choices give a proper moduli space with projective coarse moduli space and they prevent some pathologies of the moduli space of stable pairs when the coefficients are smaller than 1 2 . Lastly, we apply this machinery to provide an alternative proof of the projectivity of the moduli space of stable pairs.