4 citations · 5 across the 2 of their papers we have counts for
12 papers
Counting Unimodular Lattices in
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
Narain lattices are unimodular lattices {\it in} , subject to certain natural equivalence relation and rationality condition. The problem of describing and counting these…
Fourier-Mukai partners of a K3 surface of Picard number one
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a complete geometrical description of the FM partners of a K3 surface of Picard number 1 and its applications.
Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We consider autoequivalences of the bounded derived category of coherent sheaves on a K3 surface. We prove that the image of the autoequivalences has index at most two in the group…
Fourier-Mukai number of a K3 surface
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a Counting Formula for the number of Fourier-Mukai partners of a K3 surface and consider three applications.
The fixed points in Quot-schemes and mirror principle computations
Bong H. Lian, Chien-Hao Liu, Kefeng Liu +1
We describe the -action on the Quot-scheme $\Quot({\cal E}^n)$ associated to the trivial bundle ${\cal E}^n=CP^1\times{\smallBbb C}^n$. In particlular, the topology of the $S^…
A Survey of Mirror Principle
Bong H. Lian, Kefeng Liu, Shing-Tung Yau
This note briefly reviews the {\it Mirror Principle} as developed in the series of papers \LLYI\LLYII\LLYIII\LLYIV\LCHY. We illustrate this theory with a few new examples. One of t…