Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties
نویسنده
چکیده
We review the transcendental aspects of algebraic cycles, and explain how this relates to Calabi–Yau varieties. More precisely, after presenting a general overview, we begin with some rudimentary aspects of Hodge theory and algebraic cycles. We then introduce Deligne cohomology, as well as the generalized higher cycles due to Bloch that are connected to higher K-theory, and associated regulators. Finally, we specialize to the Calabi–Yau situation, and explain some recent developments in the field.
منابع مشابه
Arithmetic and Geometry of Algebraic Varieties with Special Emphasis on Calabi–yau Varieties and Mirror Symmetry
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