Publications [#384269] of Stefano Filipazzi

Papers Published

1. Filipazzi, S, Boundedness of log canonical surface generalized polarized pairs, Taiwanese Journal of Mathematics, vol. 22 no. 4 (August, 2018), pp. 813-850 [doi]
   (last updated on 2026/01/17)

   Abstract:
   In this paper, we study the behavior of the sets of volumes of the form vol(X;KX + B +M), where (X;B) is a log canonical pair, and M is a nef ℝ-divisor. After a first analysis of some general properties, we focus on the case when M is ℚ-Cartier with given Cartier index, and B has coefficients in a given DCC set. First, we show that such sets of volumes satisfy the DCC property in the case of surfaces. Once this is established, we show that surface pairs with given volume and for which KX + B + M is ample form a log bounded family. These generalize results due to Alexeev [1].