Abstract:In this article, we study the space of smooth genus one curves on del Pezzo threefolds of degree 4 and 5. We describe the irreducible components of the Kontsevich moduli space generically parametrizing genus one stable maps with irreducible domains and classify the irreducible components of the morphism space from general elliptic curves. Our result verifies the Geometric Manin's conjecture for all del Pezzo threefolds of degree 4 and 5 over the complex numbers.
From: Enhao Feng [view email]
[v1]
Sat, 30 May 2026 20:20:40 UTC (37 KB)
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