33 citations · 39 across the 7 of their papers we have counts for
17 papers
On the -theory of smooth toric DM stacks
Lev A. Borisov, R. Paul Horja
We explicitly calculate the Grothendieck -theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate -theory p…
On Wronskians of weight one Eisenstein series
Lev A. Borisov
We describe the span of Hecke eigenforms of weight four with nonzero central value of -function in terms of Wronskians of certain weight one Eisenstein series.
Holomorphic Eisenstein series with Jacobian twists
Lev A. Borisov
For every point on the Jacobian of the modular curve we define and study certain twisted holomorphic Eisenstein series. These are particular cases of a more general notion…
Self-self-dual spaces of polynomials
Lev Borisov, Evgeny Mukhin
A space of polynomials V of dimension 7 is called self-dual if the divided Wronskian of any 6-subspace is in V. A self-dual space V has a natural inner product. The divided Wronski…
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.
Chiral rings of vertex algebras of mirror symmetry
Lev A. Borisov
We calculate chiral rings of the N=2 vertex algebras constructed from the combinatorial data of toric mirror symmetry and show that they coincide with the description of stringy co…