# Construction of some classes in the cohomology of Siegel modular threefolds

Compositio Mathematica (1995)

- Volume: 97, Issue: 1-2, page 173-186
- ISSN: 0010-437X

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topNygaard, Niels O.. "Construction of some classes in the cohomology of Siegel modular threefolds." Compositio Mathematica 97.1-2 (1995): 173-186. <http://eudml.org/doc/90373>.

@article{Nygaard1995,

author = {Nygaard, Niels O.},

journal = {Compositio Mathematica},

keywords = {Siegel modular threefolds; rational cohomology classes; Hodge structure; Galois representation},

language = {eng},

number = {1-2},

pages = {173-186},

publisher = {Kluwer Academic Publishers},

title = {Construction of some classes in the cohomology of Siegel modular threefolds},

url = {http://eudml.org/doc/90373},

volume = {97},

year = {1995},

}

TY - JOUR

AU - Nygaard, Niels O.

TI - Construction of some classes in the cohomology of Siegel modular threefolds

JO - Compositio Mathematica

PY - 1995

PB - Kluwer Academic Publishers

VL - 97

IS - 1-2

SP - 173

EP - 186

LA - eng

KW - Siegel modular threefolds; rational cohomology classes; Hodge structure; Galois representation

UR - http://eudml.org/doc/90373

ER -

## References

top- [1]] Ash, A., Mumford, D., Rapoport, M. and Tai, Y.: Smooth compactifications of locally symmetric varieties. Math. Sci. Press, Brookline, Mass., 1975. Zbl0334.14007MR457437
- [2] Andrianov, A.N.: Euler Products that correspond to Siegel Modular Forms of genus two. Russian Math. Surveys, 29, 1974. Zbl0304.10021
- [3] Igusa, J-I.: On Siegel modular forms of degree two (II). Am. J. of Math., 86:392-412, 1964. Zbl0133.33301MR168805
- [4] Kudla, S. and Millson, J.: Geodesic cycles and the Weil representation, I. Quotients of hyperbolic space and Siegel modular forms. Comp. Math., 45:207-271, 1982. Zbl0495.10016MR651982
- [5] Millson, J. and Raghunatan, M.S.: Geometric construction of cohomology for arithmetic groups I. Proc. Indian Acad. Sci. (Math. Sci.), 90:103-123, April 1981. Zbl0514.22007MR653949
- [6] Nygaard Niels, O. and Geeemen Bert van: On the Geometry and Arithmetic of some Siegel Modular Threefolds. Journal of Number Theory, to appear, 1995. Zbl0838.11047MR1344832
- [7] Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. Jour., 58, 1975. Zbl0316.10016MR389772
- [8] Shioda, T. and Mitani, N.: Singular abelian surfaces and binary quadratic forms. In H. Popp, editor, Classification of Algebraic Varieties and Compact Complex Manifolds, pages 249-287, Springer Lecture Notes in Mathematics, No. 412, Springer-Verlag, Berlin, Heidelberg, New York, 1974. Zbl0302.14011MR382289
- [9] Van der Geer, G.: On the geometry of a Siegel modular threefold. Math. Ann., 260:317-350, 1982. Zbl0473.14017MR669299

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