Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Recurso digital |
| Lingua: | inglese |
| Pubblicazione: |
Zenodo
2026
|
| Soggetti: | |
| Accesso online: | https://doi.org/10.5281/zenodo.19507975 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
Sommario:
- <p><span>本文利用整体数学中的代谢元素构造和逆极限定理论,严格证明了统一代谢因果场框架下的霍奇猜想:对于任意非奇异的复射影代数簇</span><span><span><span>X</span><span><span><span>X</span></span></span></span></span><span>,每个霍奇类(即 中的元素)</span><span><span><span>H2p(X,Q)∩Hp,p(X)</span><span><span><span><span>H</span><span><span><span><span><span><span><span>2</span><span>p</span></span></span></span></span></span></span></span><span>(</span><span>X,Q</span><span>)</span><span>∩</span></span><span><span><span>H</span><span><span><span><span><span><span><span>p</span><span>,</span><span>p</span></span></span></span></span></span></span></span><span>(</span><span>X</span><span>)</span></span></span></span></span><span>)是上代数环的有理线性组合</span><span><span><span>X</span><span><span><span>X</span></span></span></span></span><span>.该证明完全依赖于《从数学基础到系统哲学的完整理论链》\cite{zhu2026a}中确立的核心概念和定理,并将代数几何中的概念如霍奇结构、代数环和周群纳入统一代谢因果场的范畴论框架中。该证明展示了整体数学在解决代数几何核心问题中的强大解释能力。</span></p>