Duke Mathematical Journal

Compact Riemann surfaces with many systoles

Paul Schmutz
Source: Duke Math. J. Volume 84, Number 1 (1996), 191-198.
First Page: Show Hide
Primary Subjects: 11F06
Secondary Subjects: 30F10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077243632
Mathematical Reviews number (MathSciNet): MR1394752
Zentralblatt MATH identifier: 0867.30029
Digital Object Identifier: doi:10.1215/S0012-7094-96-08406-9

References

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[2] J. Conway and N. Sloane, Sphere packings, lattices and groups, Grundlehren der Math. Wiss. [Fundamental Principles of Mathematical Sciences], vol. 290, Springer-Verlag, New York, 1988.
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[6] P. Schmutz, Arithmetic groups and the number of systoles, to appear in Math. Z.
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Zentralblatt MATH: 0867.30032
Digital Object Identifier: doi:10.1007/BF02621586
[7] P. Schmutz, Congruence subgroups and maximal Riemann surfaces, J. Geom. Anal. 4 (1994), no. 2, 207–218.
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[8] P. Schmutz, Riemann surfaces with shortest geodesic of maximal length, Geom. Funct. Anal. 3 (1993), no. 6, 564–631.
Mathematical Reviews (MathSciNet): MR95f:30060
Zentralblatt MATH: 0810.53034
Digital Object Identifier: doi:10.1007/BF01896258
[9] P. Schmutz, Systoles on Riemann surfaces, Manuscripta Math. 85 (1994), no. 3-4, 429–447.
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[10] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Kanô Memorial Lectures, vol. 1, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo, 1971.
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[11] M. F. Vignéras, Arithmétique des algèbres de quaternions, Lecture Notes in Mathematics, vol. 800, Springer, Berlin, 1980.
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