Evgeny N. Materov

activity

19992018

most citedThe Bott Formula for Toric Varieties

32 citations · 34 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2018

Weighted lattice point sums in lattice polytopes, unifying Dehn--Sommerville and Ehrhart--Macdonald

Matthias Beck, Paul E. Gunnells, Evgeny Materov

Let $V$ be a real vector space of dimension $n$ and let $M \subset V$ be a lattice. Let $P \subset V$ be an $n$ -dimensional polytope with vertices in $M$ , and let $φ\colon V\rightarr…

math.AG2009

Tate Resolutions and Weyman Complexes

David Cox, Evgeny Materov

We construct generalized Weyman complexes for coherent sheaves on projective space and describe explicitly how the differential depend on the differentials in the correpsonding Tat…

math.AG2008

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…

math.AG2007

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 $¶^{a} \times ¶^{b}$ . We prove that the maps in this Tat…

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★ 1 cited

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…