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- Geir T. Helleloid, Madeeha Khalid, David Petrie Moulton, Philip Matchett Wood
- Discrete Mathematics
- 2009

In graph pegging, we view each vertex of a graph as a hole into which a peg can be placed, with checker-like " pegging moves " allowed. Motivated by well-studied questions in graph pebbling, we introduce two pegging quantities. The pegging number (respectively, the optimal pegging number) of a graph is the minimum number of pegs such that for every… (More)

- Madeeha Khalid
- 2003

We consider relationships between families of K3 surfaces, in the context of string theory. An important ingredient of string theory also of interest in algebraic geometry is T-duality. Donagi and Pantev [DP] have extended the original duality on genus one fibred K3 surfaces with a section to the case of any genus one fibration, via a Fourier-Mukai… (More)

Let X be a K3 surface of degree 8 in P 5 with hyperplane section H. Given X we can associate to it another K3 surface M which is a double cover of P 2 ramified on a sextic curve C. We study the relation between the moduli space M = M H (2, H, 2) and M. We build on previous work of Mukai and others, giving conditions and examples where M is fine, compact,… (More)

- Brendan Guilfoyle, Madeeha Khalid, José J Ram´on Mar´i
- 2008

We study Lagrangian points on smooth holomorphic curves in TP 1 equipped with a natural neutral Kähler structure, and prove that they must form real curves. By virtue of the identification of TP 1 with the space L(E 3) of oriented affine lines in Euclidean 3-space E 3 , these Lagrangian curves give rise to ruled surfaces in E 3 , which we prove have zero… (More)

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