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math.AG2003★ 11 cited
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let be a fixed Riemann surface with fixed fi…
gr-qc2003★ 160 cited
Positivity of Quasilocal Mass
Chiu-Chu Melissa Liu, Shing-Tung Yau
Motivated by the important work of Brown adn York on quasilocal energy, we propose definitions of quasilocal energy and momentum surface energy of a spacelike 2-surface with positi…
math.QA2003★ 1 cited
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…