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Surjectivity Of The Wahl Map On Cubic Graphs, Angela C. Hanson
Surjectivity Of The Wahl Map On Cubic Graphs, Angela C. Hanson
Theses and Dissertations--Mathematics
Much of algebraic geometry is the study of curves. One tool we use to study curves is whether they can be embedded in a K3 surface or not. If the Wahl map is surjective on a curve, that curve cannot be embedded in a K3 surface. Therefore, studying if the Wahl map is surjective for a particular curve gives us more insight into the properties of that curve. We simplify this problem by converting graph curves to dual graphs. Then the information for graphs can be used to study the underlying curves. We will discuss conditions for the Wahl map …