Packing Integral Tori in Del Pezzo Surfaces
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We extend a packing result of R. Hind and E. Kerman for integral Lagrangian tori in S^2 x S^2 to the Del Pezzo surfaces D<sub>n</sub>, <em>omega</em><sub>Dn </sub>for <em>n </em>= 1,...,5. An integral torus is one whose relative area homomorphism is integer-valued, and we seek a maximal integral packing. By definition, this is a disjoint collection {<em>L</em><sub>i</sub>} of integral Lagrangian tori with the following property: any other integral Lagrangian torus not in this collection must intersect at least one of the <em>L</em><sub>i</sub>. We show that one can always find such a packing consisting of only the Clifford torus.<sub><br></sub>
创建时间：
2024-04-30
