Combinatorial aspects of mirror symmetry
V Batyrev, B Nill - Contemporary Mathematics, 2008 - books.google.com
The purpose of this paper is to review some combinatorial ideas behind the mirror symmetry
for Calabi-Yau hypersurfaces and complete intersections in Gorenstein toric Fano varieties …
for Calabi-Yau hypersurfaces and complete intersections in Gorenstein toric Fano varieties …
Quantum cohomology and periods
H Iritani - Annales de l'Institut Fourier, 2011 - numdam.org
Hodge theoretic mirror symmetry is concerned with the equivalence of Hodge structures
from symplectic geometry (A-model or Gromov-Witten theory) of Y and complex geometry (B …
from symplectic geometry (A-model or Gromov-Witten theory) of Y and complex geometry (B …
Beyond positivity in Ehrhart theory
KA Adiprasito, SA Papadakis, V Petrotou… - arXiv preprint arXiv …, 2022 - arxiv.org
We study semigroup algebras arising from lattice polytopes, compute their volume
polynomials (particularizing work of Hochster), and establish strong Lefschetz properties …
polynomials (particularizing work of Hochster), and establish strong Lefschetz properties …
Mellin–Barnes integrals as Fourier–Mukai transforms
LA Borisov, RP Horja - Advances in mathematics, 2006 - Elsevier
We study the generalized hypergeometric system introduced by Gelfand, Kapranov and
Zelevinsky and its relationship with the toric Deligne–Mumford (DM) stacks recently studied …
Zelevinsky and its relationship with the toric Deligne–Mumford (DM) stacks recently studied …
[HTML][HTML] Local h-polynomials, invariants of subdivisions, and mixed Ehrhart theory
E Katz, A Stapledon - Advances in Mathematics, 2016 - Elsevier
There are natural polynomial invariants of polytopes and lattice polytopes coming from
enumerative combinatorics and Ehrhart theory, namely the h-and h⁎-polynomials …
enumerative combinatorics and Ehrhart theory, namely the h-and h⁎-polynomials …
On the -theory of smooth toric DM stacks
LA Borisov, RP Horja - arXiv preprint math/0503277, 2005 - arxiv.org
arXiv:math/0503277v1 [math.AG] 14 Mar 2005 Page 1 arXiv:math/0503277v1 [math.AG] 14
Mar 2005 ON THE K-THEORY OF SMOOTH TORIC DM STACKS LEV A. BORISOV AND R …
Mar 2005 ON THE K-THEORY OF SMOOTH TORIC DM STACKS LEV A. BORISOV AND R …
Fano polytopes
AM Kasprzyk, B Nill - Strings, gauge fields, and the geometry …, 2012 - books.google.com
A normal projective variety X (over an algebraically closed field) with log terminal
singularities such that the anticanonical divisor− KX is an ample Q-Cartier divisor is called a …
singularities such that the anticanonical divisor− KX is an ample Q-Cartier divisor is called a …
[PDF][PDF] Stringy orbifolds
Y Ruan - arXiv preprint math/0201123, 2002 - arxiv.org
arXiv:math/0201123v1 [math.AG] 15 Jan 2002 Page 1 arXiv:math/0201123v1 [math.AG] 15
Jan 2002 Stringy orbifolds1 Yongbin Ruan Department of Mathematics, University of …
Jan 2002 Stringy orbifolds1 Yongbin Ruan Department of Mathematics, University of …
Berglund-Hübsch mirror symmetry via vertex algebras
LA Borisov - Communications in mathematical physics, 2013 - Springer
Berglund-Hübsch Mirror Symmetry via Vertex Algebras Page 1 Digital Object Identifier (DOI)
10.1007/s00220-013-1717-y Commun. Math. Phys. 320, 73–99 (2013) Communications in …
10.1007/s00220-013-1717-y Commun. Math. Phys. 320, 73–99 (2013) Communications in …
[HTML][HTML] Families of Calabi–Yau hypersurfaces in Q-Fano toric varieties
M Artebani, P Comparin, R Guilbot - Journal de Mathématiques Pures et …, 2016 - Elsevier
We provide a sufficient condition for a general hypersurface in a Q-Fano toric variety to be a
Calabi–Yau variety in terms of its Newton polytope. Moreover, we define a generalization of …
Calabi–Yau variety in terms of its Newton polytope. Moreover, we define a generalization of …