767 citations
- Kavli Institute for Particle Astrophysics and CosmologyUS4 papers
- University of California, Santa BarbaraUS3 papers
- University of ChicagoUS3 papers
- Australian National UniversityAU2 papers
- Columbia UniversityUS2 papers
- École Normale Supérieure de LyonFR2 papers
- Hewlett-Packard (United States)US2 papers
- Massachusetts Institute of TechnologyUS2 papers
- National University of SingaporeSG2 papers
- Stanford Synchrotron Radiation LightsourceUS2 papers
- The University of TokyoJP2 papers
- Université de MontréalCA2 papers
6 papers · 1 filter
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…
Murphy's Law in algebraic geometry: Badly-behaved deformation spaces
Ravi Vakil
We consider the question: ``How bad can the deformation space of an object be?'' The answer seems to be: ``Unless there is some a priori reason otherwise, the deformation space may…
Desingularizations of the moduli space of rank 2 bundles over a curve
Young-Hoon Kiem, Jun Li
Let be a smooth projective curve of genus and be the moduli space of rank 2 semistable bundles over with trivial determinant. There are three desingularizati…