On surfaces with zero vanishing cycles

DOI10.1007/s00229-014-0672-zzbMath1305.14003arXiv1305.2205OpenAlexW2113385578MaRDI QIDQ470877

Serge Lvovski

Publication date: 13 November 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2205

zbMATH Keywords

Lefschetz pencilsurface, smooth, projective, algebraictriviality of vanishing cycles

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Divisors, linear systems, invertible sheaves (14C20) Projective and enumerative algebraic geometry (14N99)

Related Items (2)

Erratum to: ``On surfaces with zero vanishing cycles ⋮ Higher order selfdual toric varieties

Cites Work

• Cohomologie des variétés algébriques
• Algebraic surfaces containing a smooth curve of genus q(S) as an ample divisor
• La conjecture de Weil. II
• On the 2-connectedness of very ample divisors on a surface
• La conjecture de Weil. I
• Surfaces with zero Lefschetz cycles
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• On Curves and Surfaces with Projectively Equivalent Hyperplane Sections
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