10 citations · 27 across the 5 of their papers we have counts for
6 papers · 1 filter
A general Plucker formula
Naichung Conan Leung
We prove a formula which compares intersection numbers of conormal varieties of two projective varieties and their dual varieties. When one of them is linear, we can recover the us…
The signature of a toric variety
Naichung Conan Leung, Victor Reiner
We identify a combinatorial quantity (the alternating sum of the h-vector) defined for any simple polytope as the signature of a toric variety. This quantity was introduced by Char…
ADE-bundles over rational surfaces, configuration of lines and rulings
Naichung Conan Leung
To each del Pezzo surface (resp. ruled surface, ruled surface with a section), we describe a natural Lie algebra bundle of type E_n (resp. D_n, A_n) over it. Using lines and ruling…
G-bundles on Abelian surfaces, hyperkahler manifolds, and stringy Hodge numbers
Jim Bryan, Ron Donagi, Naichung Conan Leung
We study the moduli space M(G,A) of flat G-bundles on an Abelian surface A, where G is a compact, simple, simply connected, connected Lie group. Equivalently, M(G,A) is the (coarse…
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds
Jim Bryan, Sheldon Katz, Naichung Conan Leung
We study the contribution of multiple covers of an irreducible rational curve C in a Calabi-Yau threefold Y to the genus 0 Gromov-Witten invariants in the following cases. (1) If t…
Generating functions for the number of curves on Abelian surfaces
Jim Bryan, Naichung Conan Leung
Let X be an Abelian surface and C a holomorphic curve in X representing a primitive homology class. The space of genus g curves in the class of C is g dimensional. We count the num…