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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

1 vote
1 answer
364 views

integral hodge classes of the Calabi-Yau 3-fold

I have been read many papers,But I don"t know a integral hodge class of the calabi-Yau 3-fold is algebraic or non-algebraic?Hope give some help and nice reference. Calabi-Yau 3-fold is a Kahler 3-fold …
1 vote
0 answers
166 views

How do Hodge classes for Calabi-Yau 4-folds compare with the classes for tori?

Let $X$ be a Calabi-Yau 4-fold, i.e., a connected 4-dimensional compact Kahler manifold with $K_{X} \cong \mathscr{O}_{X}$ and $h^{i} (X,O_{X} )= 0$ for $0 \lt i \lt 4$. Given a general 4-dimensiona …
2 votes

What is Mordell-Weil lattice?

[T Shioda :Mordell-Weil lattice][1] [1]: http://www.rkmath.rikkyo.ac.jp/math/shioda/papers/mwl.pdf more Basic,you also see the homepage of Chao Li about Elliptic Surfaces and Mordell-Weil Lattices …
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