Evgeny N. Materov

most citedMixed toric residues and Calabi-Yau complete intersections

1 citations · 1 across the 1 of their papers we have counts for

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3 papers

math.AG2002★ 1 cited

Mixed toric residues and Calabi-Yau complete intersections

Victor V. Batyrev, Evgeny N. Materov

Using Cayley trick, we define the notions of mixed toric residues and mixed Hessians associated with $r$ Laurent polynomials $f_{1}, ..., f_{r}$ .We conjecture that the values of mixed to…

math.AG2002

Toric Residues and Mirror Symmetry

Victor V. Batyrev, Evgeny N. Materov

We develop some ideas of Morrison and Plesser and formulate a precise mathematical conjecture which has close relations to toric mirror symmetry. Our conjecture, we call it Toric R…

math.AG1999

The Bott Formula for Toric Varieties

Evgeny Materov

The purpose of this paper is to give an explicit formula which allows one to compute the dimension of the cohomology groups of the sheaf $Ω_{¶}^{p} (D)$ of p-th differential forms of Za…