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

DOI10.1016/j.bulsci.2021.103091zbMath1483.14007OpenAlexW4200332341MaRDI QIDQ2071450

Fernando Xavier, Jacqueline Rojas, Adriana R. Silva

Publication date: 28 January 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103091

zbMATH Keywords

components of Hilbert schemeschematic unions

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05)

Uses Software

• SINGULAR

Cites Work

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• Detaching embedded points
• Counting cones over reducible cubic scrolls
• Enumeration of surfaces containing a curve of low degree
• Enumeration of cones over cubic scrolls
• CANONICAL CURVES IN ℙ³
• Enumeration of surfaces containing an elliptic quartic curve
• Localization in equivariant intersection theory and the Bott residue formula
• A compactification of the space of twisted cubics
• Surfaces of ℙ3 containing one conic and one line
• Numbers for reducible cubic scrolls
• 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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