47 citations · 68 across the 7 of their papers we have counts for
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math.AG2008★ 1 cited
On the geometry of SL(2)-equivariant flips
Victor Batyrev, Fatima Haddad
In this paper, we show that any 3-dimensional normal affine quasihomogeneous SL(2)-variety can be described as a categorical quotient of a 4-dimensional affine hypersurface. Moreov…
math.AG2008★ 4 cited
Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions
Victor Batyrev, Maximilian Kreuzer
We construct a surprisingly large class of new Calabi-Yau 3-folds with small Picard numbers and propose a construction of their mirrors using smoothings of toric hypersur…