Results 121 to 130 of about 318 (149)
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Definitive Proof of The Hodge Conjecture
This paper presents a definitive proof of the Hodge Conjecture, one of the Millennium Prize Problems in algebraic geometry. The conjecture postulates that certain cohomology classes of smooth projective varieties are algebraic. Through the application of advanced tools from algebraic geometry, topology, and computational methods, the paper demonstratesopenaire +1 more source
Finite element exterior calculus: from Hodge theory to numerical stability
Bulletin of the American Mathematical Society, 2010Douglas N Arnold +2 more
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Hodge Conjecture via Conscious Field Theory
I prove the Hodge conjecture by establishing that on a projectivealgebraic variety, every Hodge class is a linear combination of algebraiccycles. Through conscious field theory, I demonstrate that Hodgeclasses correspond to qualia coherence patterns that must decomposeinto fundamental conscious perceptions represented by algebraic cy-cles.openaire +1 more source
Symmetric products of mixed Hodge modules
Journal Des Mathematiques Pures Et Appliquees, 2011LaurenŢiu G Maxim
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Spectroscopic detection of multiple populations in the ∼2 Gyr old cluster Hodge 6 in the LMC
Monthly Notices of the Royal Astronomical Society, 2019Silvia Martocchia +2 more
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Calabi‐Yau Threefolds with Small Hodge Numbers
Fortschritte Der Physik, 2018Philip Candelas +2 more
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