We study the following problem: find the maximal genus G(d, s, t) of an irreducible curve C in p4 of degree d verifying the following "flag conditions": C does not lie on any surface of degree < s and on any hypersurface of degree < t. In this paper, we give the following answer: Theorem. Let C be an irreducible reduced, nondegenerate curve of arithmetic
Chiantini, L., Ciliberto, C., di Gennaro, V. (1995). The genus of projective curves in P4 verifying certain flag conditions. MANUSCRIPTA MATHEMATICA, 88(1), 119-134 [10.1007/BF02567810].
The genus of projective curves in P4 verifying certain flag conditions
CHIANTINI, LUCA;
1995-01-01
Abstract
We study the following problem: find the maximal genus G(d, s, t) of an irreducible curve C in p4 of degree d verifying the following "flag conditions": C does not lie on any surface of degree < s and on any hypersurface of degree < t. In this paper, we give the following answer: Theorem. Let C be an irreducible reduced, nondegenerate curve of arithmetic
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https://hdl.handle.net/11365/37879
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