Positive cones of dual cycle classes
By Mihai Fulger, Brian Lehmann. 2014
87 citations recorded by the source corpus.
We study generalizations for higher codimension cycles of several well-known definitions of the nef cone of divisors on a projective variety. These generalizations fix some of the pathologies exhibited by the classical nef cone of higher codimension classes. As an application, we recover the expected properties of the pseudoeffective cones $\overline{Eff}_{k}(X)$ for all k.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/49ea2e38ed59846c38815730dbd9055528e8a1e9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Degrees of iterates of rational maps on normal projective varieties (2017, methodology): “The cone BPF′(X) as above was defined by Fulger–Lehmann and they proved that this cone satisfies Theorem 3.3.3 when X is smooth [15, Theorem 1.7].”