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math.AG 2

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2026 2

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Log Conifold Transitions

math.AG · 2026-06-30 · unverdicted · novelty 7.0

Defines log conifold transitions for index-two Fano threefold pairs, proves unconditional unobstructedness of deformations for both log resolutions and singular pairs, and constructs new non-Kähler threefolds.

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  • Log Conifold Transitions math.AG · 2026-06-30 · unverdicted · none · ref 25

    Defines log conifold transitions for index-two Fano threefold pairs, proves unconditional unobstructedness of deformations for both log resolutions and singular pairs, and constructs new non-Kähler threefolds.

  • Moduli space of genus one curves on quartic and quintic del Pezzo threefolds math.AG · 2026-05-30 · unverdicted · none · ref 66

    Classifies irreducible components of Kontsevich moduli spaces for genus one stable maps on degree 4 and 5 del Pezzo threefolds and verifies Geometric Manin's conjecture.