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math.AG2003★ 173 cited
The orbifold Chow ring of toric Deligne-Mumford stacks
Lev A. Borisov, Linda Chen, Gregory G. Smith
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks which correspond to combinatorial data. The main result in this paper is an explicit calculation of the orbi…
math.AG2003
Higher Stanley-Reisner rings and Toric Residues
Lev A. Borisov
We give a purely algebraic proof of the hypersurface case of Toric Residue Mirror Conjecture recently proposed by Batyrev and Materov.