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.
Geometric Manin’s conjecture in characteristicp
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AG 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Proves log Manin's conjecture for Campana rational curves and A1-curves on split toric varieties by combining Cox-ring moduli descriptions with Batyrev-style counting.
Kontsevich moduli spaces of stable maps to smooth cubic hypersurfaces of dimension ≥4 are irreducible in characteristic ≠2,3.
citing papers explorer
-
Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
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.
-
Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
Proves log Manin's conjecture for Campana rational curves and A1-curves on split toric varieties by combining Cox-ring moduli descriptions with Batyrev-style counting.
-
Rational curves on cubic hypersurfaces in positive characteristic
Kontsevich moduli spaces of stable maps to smooth cubic hypersurfaces of dimension ≥4 are irreducible in characteristic ≠2,3.