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4 papers · 2 filters
On K3 Surfaces with Large Complex Structure
Adrian Clingher, Charles F. Doran
We discuss a notion of large complex structure for elliptic K3 surfaces with section inspired by the eight-dimensional F-theory/heterotic duality in string theory. This concept is…
Virtual intersections on the Quot-scheme and Vafa-Intriligator formulas
Alina Marian, Dragos Oprea
We construct a virtual fundamental class on the Quot scheme parametrizing quotients of a trivial bundle on a curve. We use the virtual localization formula to calculate virtual int…
Counting Bitangents with Stable Maps
David Ayala, Renzo Cavalieri
This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent…
Hirota Quadratic Equations for the Extended Toda Hierarchy
Todor E. Milanov
The Extended Toda Hierarchy (shortly ETH) was introduce by E. Getzler \cite{Ge} and independently by Y. Zhang \cite{Z} in order to describe an integrable hierarchy which governs th…