A bound on the geometric genus of projective varieties verifying certain flag conditions

DOI10.1090/S0002-9947-97-01785-6zbMath0860.14041OpenAlexW2130176045MaRDI QIDQ3127577

Vincenzo Di Gennaro

Publication date: 9 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01785-6

zbMATH Keywords

geometric genuscomplete intersectionsflag varietyCastelnuovo regularityprojective varietiesarithmetic genusflag conditionCastelnuovo's theorylow codimension varieties

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Complete intersections (14M10) Surfaces and higher-dimensional varieties (14J99) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

Related Items (4)

BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES ⋮ On the genus of projective curves not contained in hypersurfaces of given degree ⋮ SELF-INTERSECTION OF THE CANONICAL BUNDLE OF A PROJECTIVE VARIETY ⋮ Hierarchical structure of the family of curves with maximal genus verifying flag conditions

Cites Work

• On a theorem of Castelnuovo, and the equations defining space curves
• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• The genus of space curves
• On bounds for cohomological Hilbert functions
• Liaison des variétés algébriques. I
• Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten. I
• The genus of projective curves
• Generalized Castelnuovo varieties
• The genus of curves in \(\mathbb{P}^ 4\) verifying certain flag conditions
• Genre des courbes de l'espace projectif. II
• On a Property of Castelnuovo Varieties
• Lectures on Curves on an Algebraic Surface. (AM-59)
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