Courbes ordinaires de genre maximal
Youssef Hantout, Daniel Lehmann
TL;DR
This paper investigates algebraic curves of maximal rank, establishing conditions for their existence and providing examples, thereby extending previous results in the context of dimension three.
Contribution
It offers new sufficient conditions and examples for ordinary algebraic curves of maximal rank, generalizing prior work to higher dimensions.
Findings
Conditions for existence of maximal rank curves
Construction of explicit examples in dimension three
Extension of previous results to higher dimensions
Abstract
The ordinary algebraic curves of maximal rank are also the arithmetically Cohen-Maccaulay curves of minimal rank. We give sufficient conditions for such curves to exist as well as examples, generalizing results of [GHL] in the dimension three.
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TopicsLanguage, Linguistics, Cultural Analysis · French Historical and Cultural Studies · Healthcare Systems and Practices