The Hodge conjecture for fourfolds admitting a covering by rational curves

DOI10.1007/BF01351457zbMath0373.14006OpenAlexW2001237404WikidataQ123344674 ScholiaQ123344674MaRDI QIDQ1244276

Alberto Conte, Jacob P. Murre

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163185

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Unnamed Item ⋮ On smooth Fano fourfolds of Picard number two ⋮ Hodge theory on some invariant threefolds of even degree ⋮ A footnote to a paper by A. Grothendieck ⋮ On hypersurfaces admitting a covering by rational curves ⋮ Noncommutative Hodge conjecture ⋮ Birational Invariants and Decomposition of the Diagonal ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Unnamed Item ⋮ Stability conditions in families ⋮ Abel-Jacobi map, integral Hodge classes and decomposition of the diagonal ⋮ Potential density of rational points on the variety of lines of a cubic fourfold ⋮ Derived categories of Gushel–Mukai varieties ⋮ Integral Hodge classes on fourfolds fibered by quadric bundles ⋮ Unnamed Item ⋮ Hodge theory on cyclotomic threefolds (with a view towards the higher dimensional case) ⋮ On the double EPW sextic associated to a Gushel–Mukai fourfold ⋮ Hodge cycles and the Leray filtration

Cites Work

• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• On the Quartic Threefold
• Variétés de Prym et jacobiennes intermédiaires
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