Browsing Mathematics (Scholarly Articles) by Subject "Mathematics - Complex Variables"

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On Genus Two Riemann Surfaces Formed from Sewn Tori

Mason, Geoffrey; Tuite, Michael P. (2006)

We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ...
The Szegö Kernel on a Sewn Riemann Surface

Tuite, Michael P.; Zuevsky, Alexander (2010)

We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ...