On the normality of secant varieties

2014/08/05 by Ullery, Brooke · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.0865

Abstract

In this paper, we show that the secant variety to a smooth projective variety embedded by a sufficiently positive line bundle is normal. As an application, we deduce that the secant variety to a general canonical curve of genus at least 7 is normal.

Cited by

• Secants, Socles and Stability

Related

• Regularity and Normality of the Secant Variety to a Projective Curve
• Arithmetic properties of the first secant variety to a projective variety
• Equations and syzygies of the first secant variety to a smooth curve
• Singularities of the Secant Variety
• Singularities and syzygies of secant varieties of smooth projective varieties