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The Hodge Conjeture : the complications of understanding the shape of geometric
Repositori DSpace/Manakin
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- Mètode Science Studies Journal : Annual Review
- Mètode Science Studies Journal : Annual Review. 2018. Issue 8
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The Hodge Conjeture : the complications of understanding the shape of geometric
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| Muñoz, Vicente | |||
| Aquest document és un/a article, creat/da en: 2018 | |||
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| The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimu-lus for the development of several theories based on geometry, analysis, and mathematical physics. It proposes a natural condition for the existence of complex submanifolds within a complex mani-fold. Manifolds are the spaces in which geometric objects can be considered. In complex manifolds, the structure of the space is based on complex numbers, instead of the most intuitive structure of geometry, based on real numbers. | |||
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