Degenerations of K3 surfaces in projective space

DOI10.1090/S0002-9947-97-01816-3zbMath0872.14032OpenAlexW1676201740MaRDI QIDQ4336574

Bangere P. Purnaprajna, Francisco Javier Gallego

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01816-3

zbMATH Keywords

Hilbert schemedegenerationsrational normal scrollsK3 carpets

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Period matrices, variation of Hodge structure; degenerations (32G20) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10)

Related Items (12)

Bi-graded Koszul modules, K3 carpets, and Green's conjecture ⋮ Deformations of canonical double covers ⋮ An infinitesimal condition to smooth ropes ⋮ Deformations of hyperelliptic and generalized hyperelliptic polarized varieties ⋮ Smoothable locally non Cohen-Macaulay multiple structures on curves ⋮ \(K3\) double structures on Enriques surfaces and their smoothings ⋮ Equations and syzygies of \(K3\) carpets and unions of scrolls ⋮ Correspondence scrolls ⋮ Deformation of canonical morphisms and the moduli of surfaces of general type ⋮ Smoothing of ribbons over curves ⋮ Smoothing of multiple structures on embedded Enriques manifolds ⋮ K3 carpets on minimal rational surfaces and their smoothings

Cites Work

• The Horrocks-Mumford bundle and the Ferrand construction
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• Equations of \((1,d)\)-polarized abelian surfaces
• Hyperelliptic Linear Systems on a K 3 Surface
• Ribbons and Their Canonical Embeddings
• Clifford Indices of Ribbons
• ON SPECIAL ALGEBRAIC K3 SURFACES. I
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