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Regularity and Segre-Veronese embeddings
David Cox, Evgeny Materov
This paper studies the regularity of certain coherent sheaves that arise naturally from Segre-Veronese embeddings of a product of projective spaces. We give an explicit formula for…
Tate Resolutions for Segre Embeddings
David Cox, Evgeny Materov
We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of . We prove that the maps in this Tat…
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 Laurent polynomials .We conjecture that the values of mixed to…
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…
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 of p-th differential forms of Za…