We propose a new definition of the elliptic genera for complete intersections, not necessarily nonsingular, in projective spaces. We also prove they coincide with the expressions obtained from Landau-Ginzburg model by an elementary argument.
On the Genus-One Gromov-Witten Invariants of Complete Intersections
A Sage package for calculation of elliptic genera of homogeneous spaces and their complete intersections
Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems
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