Toric and spherical varieties, rational points on algebraic varieties, Fano varieties, Calabi-Yau varieties, mirror symmetry
Main publications:
Batyrev, V. V. and Manin, Yu. I., “Sur le nombre des points rationnels de hauteur borné des variétés algébriques”, Math. Ann., 286:1-3 (1990), 27–43
Batyrev, Victor V., “Variations of the mixed Hodge structure of affine
hypersurfaces in algebraic tori”, Duke Math. J., 69:2 (1993), 349–409
Batyrev, Victor V., “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties”, J. Algebraic Geom., 3:3 (1994), 493–535
Batyrev, Victor V. and Tschinkel, Yuri, “Manin's conjecture for toric varieties”, J. Algebraic Geom., 7:1 (1998), 15–53
Batyrev, Victor V., “Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs”, J. Eur. Math. Soc., 1:1 (1999), 5–33
