HODGE NUMBERS OF DESINGULARIZED FIBER PRODUCTS OF ELLIPTIC SURFACES

Authors

Schoen, C

Abstract

Each element of (Z≥0)2 is realized as the Hodge vector (h3,0(Z), h2,1(Z)) of some compact, connected, three dimensional, complex, submanifold, Z ⊂ PNC . Each (x, y) ∈ (Z≥1)2 with y ≤ 11x + 8 is shown to be the Hodge vector of a projective desingularized fiber product of elliptic surfaces which moves in moduli.

Citation

Schoen, C. “HODGE NUMBERS OF DESINGULARIZED FIBER PRODUCTS OF ELLIPTIC SURFACES.” Proceedings of the American Mathematical Society 152, no. 8 (August 1, 2024): 3215–28. https://doi.org/10.1090/proc/16803.
Cover: Proceedings of the AMS

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