Hodge theory and Lagrangian planes on generalized Kummer fourfolds

By Brendan Hassett, Yuri Tschinkel. 2010

67 citations recorded by the source corpus.

We analyze the intersection properties of projective planes embedded in generalized Kummer fourfolds, with a view toward classifying the homology classes represented by these submanifolds.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/71c23a9930f949470698664d3ee41d8e579987a7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Yuri Tschinkel
2. Brendan Hassett
3. Giovanni Mongardi
4. Franccois Charles
5. D. Smyth
6. Donghoon Hyeon
7. Brian Lehmann
8. D. Huybrechts

In Mathematical Physics

1. Brendan Hassett
2. Yuri Tschinkel
3. Giovanni Mongardi
4. Brian Lehmann
5. Donghoon Hyeon
6. E. Markman
7. D. Smyth
8. Emanuele Macrì

Citations in the corpus

• Intersection Numbers of Extremal Rays on Holomorphic Symplectic Varieties (2009, background): “NTERSECTION NUMBERS AND EXTREMAL RAYS 5 In particular, if ρ is the smallest positive multiple of R contained in H2(X,Z) (via the inclusion H2(X,Z) ⊂ H 2(X,Z)) then in each case (ρ,ρ) = (e,e) = −6. In [11], we prove this last statement when X contains a Lagrangian plane P and ρ is associated with the”