Varieties with nef diagonal

2018/03/22 by Suzuki, Taku, Watanabe, Kiwamu
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.08216

Abstract

For a smooth projective variety X, we consider when the diagonal Δ_X is nef as a cycle on X× X. In particular, we give a classification of complete intersections and smooth del Pezzo varieties where the diagonal is nef. We also study the nefness of the diagonal for spherical varieties.

Related

• Positivity of the diagonal
• Lower and upper bounds for nef cones
• Nef cycles on some hyperkahler fourfolds
• On projective varieties with nef anticanonical divisors
• Characterization of products of projective spaces via nef complexity