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Bounds for the Genus of Space Curves
Author(s) -
Beorchia Valentina
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971840103
Subject(s) - mathematics , degree (music) , genus , space (punctuation) , image (mathematics) , surface (topology) , combinatorics , pure mathematics , discrete mathematics , geometry , artificial intelligence , zoology , computer science , physics , acoustics , biology , operating system
We compute the following upper bounds for the maximal arithmetic genus P a (d,t ) over all locally Cohen ‐ Macaulay space curves of degree d , which are not contained in a surface of degreeThese bounds are sharp for t ≤ 4 abd any d ≥ t.