2026-06-29T16:40:05Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/570502023-08-27T09:36:26Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gallego Rodrigo, Francisco Javier
author
Purnaprajna, Bangere P.
2023-06-20T16:47:57Z
2023-06-20T16:47:57Z
1997-06
1088-6850
10.1090/S0002-9947-97-01816-3
https://hdl.handle.net/20.500.14352/57050
http://www.ams.org/publications/journals/journalsframework/tran
http://www.ams.org/
A K3 carpet S is a double structure on a rational normal scroll such that its dualizing sheaf is trivial and h1(OS) = 0.
In this note the authors show that every K3 carpet S can be smoothed, i.e. there exists a flat family over a smooth curve with smooth generic fiber and with a special closed fiber isomorphic top S.
Moreover, they study the Hilbert scheme of numerical K3 surfaces at the locus parametrizing K3 carpets, characterizing those K3 carpets whose corresponding Hilbert point is smooth.
The proof is based on the properties of the hyperelliptic linear systems on K3 surfaces.
eng
Degenerations of K3 surfaces in projective space
journal article
URL
https://docta.ucm.es/bitstreams/f0a4e14c-58d1-4dd7-836e-3a77f746193c/download
File
MD5
58d826f3103353d8480ad7540c6630d3
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application/pdf
1997degenerations.pdf
URL
https://docta.ucm.es/bitstreams/5590b279-fa45-4ad6-a0aa-58ad08fd526c/download
File
MD5
9c117eea73b282dab8755d16008e3642
46376
text/plain
1997degenerations.pdf.txt