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Finding the Maximum Area Parallelogram in a Convex Polygon
Maximum Area Parallelogram Convex Polygon
2012/12/3
We consider the problem of finding the maximum area parallelogram (MAP) inside a given convex polygon. Our main result is an algorithm for computing the MAP
in an n-sided polygon in O(n2) time. Achie...
Parallelogram decompositions and generic surfaces in H^{hyp}(4)
Parallelogram decompositions generic surfaces
2011/1/18
The space Hhyp(4) consists of pairs (M, ω), whereM is a hyper-elliptic Riemann surface of genus 3, and ω is a holomorphic 1-form having only one zero, which is located at a Weierstrass point of M.