30 citations · 40 across the 4 of their papers we have counts for
4 papers · 1 filter
Virtual fundamental classes, global normal cones and Fulton's canonical classes
Bernd Siebert
This paper, first written in 1997, aims at a simplified and more elementary construction of algebraic-geometric virtual fundamental classes as defined by Li/Tian and Behrend/Fantec…
Toric degenerations of toric varieties and tropical curves
Takeo Nishinou, Bernd Siebert
We show that the counting of rational curves on a complete toric variety that are in general position to the toric prime divisors coincides with the counting of certain tropical cu…
Mirror Symmetry via Logarithmic Degeneration Data I
Mark Gross, Bernd Siebert
This paper is the first arising from our project announced in math.AG/0211094, "Affine manifolds, log structures, and mirror symmetry." We aim to study mirror symmetry by studying…
Algebraic and symplectic Gromov-Witten invariants coincide
Bernd Siebert
For a complex projective manifold Gromov-Witten invariants can be constructed either algebraically or symplectically. Using the versions of Gromov-Witten theory by Behrend and Fant…