Surfaces of ℙ3 containing one conic and one line

DOI10.1142/S0218196718500601zbMath1411.14013OpenAlexW2888007758MaRDI QIDQ4629507

André L. Meireles Araújo, Fernando Xavier, J. A. D. Maia

Publication date: 27 March 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196718500601

zbMATH Keywords

compactificationHilbert schemeBott's formulasurface of degree \(d\)

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (1)

Schematic union of \((n-3)\) and \((n-2)\) dimensional quadrics in \(\mathbb{P}^n\)

Cites Work

• Enumeration of surfaces containing a curve of low degree
• Enumeration of surfaces containing an elliptic quartic curve
• Noether-Lefschetz theory and the Picard group of projective surfaces
• Localization in equivariant intersection theory and the Bott residue formula
• Bott’s formula and enumerative geometry
• The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space $\mathsf{P}(2,1^4)$.

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