Construction of minimal varieties from weighted complete intersections

  • A+

:Pinxian Bie (Fudan University)
: 2026-04-07 14:00
:Conference Room S306 at Experiment Building at Haiyun Campus

SpeakerPinxian Bie (Fudan University)

Time2026-4-7 14:00

LocationConference Room S306 at Experiment Building at Haiyun Campus

Abstract:

In this talk, we first establish several effective nefness criterions for the canonical divisor of weighted blow-ups over a weighted complete intersection, where we both consider the high codimensional case and the blowing up several points case, these new criterions are generalisations of previous results by Meng Chen, Chen Jiang and Binru Li. Next we use these new criterions to construct plenty of new minimal 3-folds including 79 families of minimal 3-folds of general type, several infinite series of minimal 3-folds of Kodaira dimension 2, 16 families of minimal 3-folds of general type on or near the Noether lines.