Access the full text.
Sign up today, get DeepDyve free for 14 days.
Ezio Stagnaro (2001)
Adjoints and pluricanonical adjoints to an algebraic hypersurfaceAnnali di Matematica Pura ed Applicata, 180
Ezio Stagnaro (2002)
Pluricanonical maps of a threefold of general typeLe Matematiche, 55
Sandra Chiaruttini, R. Gattazzo (2002)
Examples of birationality of pluricanonical mapsRendiconti del Seminario Matematico della Università di Padova, 107
Seunghun Lee (1999)
Remarks on the pluricanonical and the adjoint linear series on projective threefoldsCommunications in Algebra, 27
K. Matsuki (1986)
On pluricanonical maps for $3$-folds of general type, 60
Meng Chen (1998)
On pluricanonical maps for threefolds of general type, IIOsaka Journal of Mathematics, 38
E. Stagnaro (2000)
Pluricanonical maps of a threefold of general typeProc. Greco Conference on Commutative Algebra and Algebraic Geometry, 55
S. Iitaka (1982)
Algebraic Geometry
X. Benveniste (1986)
SUR LES APPLICATIONS PLURICANONIQUES DES VARIETES DE TYPE TRES GENERAL EN DIMENSION 3American Journal of Mathematics, 108
M. Chen (1998)
On pluricanonical maps for threefolds of general typeJ. Math. Soc. Japan, 50
J. Kollár (1986)
Higher direct images of dualizing sheaves. IIAnnals of Mathematics, 124
P. Griffiths, J. Harris (1978)
Principles of Algebraic Geometry
One of the problems in classifying nonsingular threefolds of general type with p g =0 lies in finding the range of the bigenus P 2 (surfaces of general type with p g =0 have 2≤P 2≤10). Another problem involves finding the minimum integer m such that the m-canonical map Φ|mK| is birational for any threefold (m=5 in the case of surfaces). An example of a nonsingular threefold X of general type with q 1=q 2=0, p g =P 2=0,P 3=1 is presented. In addition, the m-canonical map of X is birational if and only if m≥14. The threefold is obtained as a nonsingular model of a degree ten hypersurface in P 4 C with the affine equation t 2=f 10(x,y,z).
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 5, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.