On generalized nefness and bigness in adjunction theory

2022/02/23 by Felisetti, Camilla, Fontanari, Claudio
#14J40 #14N30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.11563

Abstract

We investigate effectiveness and ampleness of adjoint divisors of the form aL+bK_X, where L is a suitably positive line bundle on a smooth projective variety X and a,b are positive integers.

Related

• Ample Weil divisors
• Strictly Nef Divisors
• Some adjunction properties of ample vector bundles
• On the direct image of the adjoint big and nef line bundles
• Strictly nef divisors and some remarks on a conjecture of Serrano