We prove that there exists an integer M such that if S ⊂ ℙ4 is a smooth surface with deg(S) > M, then the canonical map of S is birational. Then we consider surfaces, S, satisfying h i(script J signS(3 - i)) = 0, 0 ≤ i ≤ 2 and show that they are regular and that their canonical system is base point free and very ample if deg(S) > M and S doesn't contain -2-curves. Copyright © 2004 by Marcel Dekker, Inc.
On the canonical map of smooth surfaces in P4
ELLIA, Filippo Alfredo
Primo
;
2004
Abstract
We prove that there exists an integer M such that if S ⊂ ℙ4 is a smooth surface with deg(S) > M, then the canonical map of S is birational. Then we consider surfaces, S, satisfying h i(script J signS(3 - i)) = 0, 0 ≤ i ≤ 2 and show that they are regular and that their canonical system is base point free and very ample if deg(S) > M and S doesn't contain -2-curves. Copyright © 2004 by Marcel Dekker, Inc.File in questo prodotto:
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