Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Object
|
| gptkbp:application |
String Theory
Mirror Symmetry Moduli spaces |
| gptkbp:characteristics |
Intersection theory
Cohomology groups Deformation theory Existence of Kähler metrics Fano varieties Geometric invariant theory Toric varieties Existence of Fano varieties with ample sheaves and surfaces Existence of Fano varieties with ample sheaves and higher-dimensional varieties. Existence of Fano varieties with ample sheaves and higher-dimensional curves Classification of Fano varieties Classification of varieties Existence of Fano varieties with ample sheaves and curves Existence of Fano fourfolds Existence of Fano threefolds Existence of Fano varieties in higher dimensions Existence of Fano varieties with ample divisors Existence of Fano varieties with ample sheaves Existence of Fano varieties with nef divisors Existence of Fano varieties with singularities Existence of Fano varieties with special divisors Existence of Fano varieties with symmetries Existence of Fano varieties with torus actions Existence of Kähler-Einstein metrics Existence of ample line bundles Existence of extremal rays Existence of minimal models Existence of rational curves Existence of rational points Existence of smooth Fano varieties Fano conjecture Fano index Fano manifolds of dimension n K-stability Rational connectedness Rationality of Fano varieties Simplicity of singularities Stability conditions Existence of Fano varieties with ample sheaves and divisors Existence of Fano varieties with ample vector bundles Existence of Fano varieties with ample sheaves and vector bundles Existence of Fano varieties with ample sheaves and higher-dimensional surfaces Existence of Fano varieties with ample sheaves and higher-dimensional varieties Existence of Fano varieties with ample line bundles Existence of Fano varieties with special properties Existence of Fano varieties with effective divisors Non-negative_Kodaira_dimension |
| gptkbp:characterizedBy |
Positive first Chern class
|
| gptkbp:examples |
Projective spaces
Complete intersections |
| https://www.w3.org/2000/01/rdf-schema#label |
Fano Manifolds
|
| gptkbp:namedAfter |
Gino Fano
|
| gptkbp:relatedTo |
gptkb:Calabi-Yau_manifolds
gptkb:Kähler_manifolds Birational geometry Algebraic_Geometry |