On canonical threefolds near the Noether line

2024/10/08 by Pignatelli, Roberto
#14J10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14J30 #Secondary 14J29

paper · doi:10.48550/arxiv.2410.06009

Abstract

This short note is the extended abstract of a seminar I have delivered on several occasions over the past few months on canonical threefolds whose canonical volume is "close" to the lower bound 4/3p_g - 10/3. This is a project in collaboration with S. Coughlan, Y. Hu, and T. Zhang.

Related

• Moduli spaces of threefolds on the Noether line
• The canonical volume of threefolds of general type with χ<1
• Algebraic threefolds of general type with small volume
• The Noether inequality for threefolds and three moduli spaces with minimal volumes
• Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds