Batyrev's non-negativity conjecture on stringy Hodge numbers is true for Gorenstein canonical projective varieties in dimension at most 4 and false in all dimensions 5 and higher.
Obstruction theories and virtual fundamental classes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We give a new definition of an obstruction theory for infinitesimal deformation theory and relate it to earlier definitions of Artin, Fantechi-Manetti, Li-Tian, and Behrend-Fantechi.
fields
math.AG 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
Batyrev's non-negativity conjecture on stringy Hodge numbers is true for Gorenstein canonical projective varieties in dimension at most 4 and false in all dimensions 5 and higher.