A remark on the genus of curves in \(\mathbf{P}^4\)

DOI10.1007/s12215-019-00456-7zbMath1461.14071arXiv1905.00950OpenAlexW2976136145MaRDI QIDQ2657360

Vincenzo Di Gennaro

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00950

zbMATH Keywords

flag conditionCastelnuovo-Halphen theorygenus of a complex projective curve

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Projective techniques in algebraic geometry (14N05)

Related Items (1)

On the genus of projective curves not contained in hypersurfaces of given degree

Cites Work

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• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• The genus of projective curves
• The genus of curves in \(\mathbb{P}^ 4\) verifying certain flag conditions
• A speciality theorem for curves in \(\mathbb P^5\)
• Factoriality of Certain Threefolds Complete Intersection inP⁵with Ordinary Double Points
• Genre des courbes de l'espace projectif. II
• Hierarchical structure of the family of curves with maximal genus verifying flag conditions

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