Stringy Chern classes of singular toric varieties and their applications

L. Dixon, J. A. Harvey, C. Vafa, and E. Witten, Strings on orbifolds , Nuclear Physics B 261

1985

Earlier work this paper cites.

F. Hirzebruch and T. Höfer, On the Euler number of an orbifold , Math. Ann. 286

1990

Earlier work this paper cites.

A. S. Libgober and J. W. Wood, Uniqueness of the complex structure on Kähler manifolds of certain homotopy types , J. Differential Geom. 32

1990

Earlier work this paper cites.

V. V. Batyrev, Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori , Duke Math. J. 69

1993

Earlier work this paper cites.

W. Fulton, Introduction to Toric Varieties , Princeton University Press, 1993

1993

Earlier work this paper cites.

by same author, Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties , Journal of Algebraic Geometry 3

1994

Earlier work this paper cites.

V. V. Batyrev and D. I. Dais, Strong McKay correspondende, string-theoretic Hodge numbers and mirror symmetry , Topology 35

1996

Earlier work this paper cites.

S. M. Salamon, Cohomology of Kähler manifolds with c 1 = 0 c_{1}=0 , Manifolds and geometry (Pisa, 1993), Sympos. Math., XXXVI, Cambridge Univ. Press (1996), 294–310

1996

Earlier work this paper cites.

V. V. Batyrev and L. A. Borisov, Dual cones and mirror symmetry for generalized Calabi-Yau manifolds , Mirror Symmetry II, AMS/IP Stud. Adv. Math. 1, Amer. Math. Soc., Providence, RI (1997), 71–86

1997

Cited alongside, same era.

L. A. Borisov, On Betti numbers and Chern classes of varieties with trivial odd cohomology groups , arXiv:alg-geom/9703023, 1997

1997

Cited alongside, same era.

by same author, Stringy Hodge numbers of varieties with Gorenstein canonical singularities , Integrable systems and algebraic geometry (Kobe/Kyoto 1997), World Sci. Publ., River Edge, NJ (1998), 1–31

1998

Cited alongside, same era.

by same author, Intersection Theory , Springer, 1998

1998

Cited alongside, same era.

by same author, Stringy Hodge numbers and Virasoro algebra , Math. Res. Lett. 7

2000

Cited alongside, same era.

T. de Fernex, E. Lupercio, T. Nevins, and B. Uribe, Stringy Chern classes of singular varieties , Advances in Mathematics 208

2007

Later among the works it cites.

V. V. Batyrev and B. Nill, Combinatorial aspects of mirror symmetry , Integer points in polyhedra-geometry, number theory, representation theory, algebra, optimization, statistics; Contemp. Math., Amer. Math. Soc., Providence, RI 452

2008

Later among the works it cites.

V. V. Batyrev and D. Juny, Classification of Gorenstein toric del Pezzo varieties in arbitrary dimension , Mosc. Math. J. 10

2010

Later among the works it cites.

A. M. Kasprzyk, M. Kreuzer, and B. Nill, On the combinatorial classification of toric log del Pezzo surfaces , LMS J. Comput. Math. 13

2010

Later among the works it cites.

D. A. Cox, J. B. Little, and H. K. Schenck, Toric Varieties , American Mathematical Society, 2011

2011