Algebraic & Geometric Topology Volume 17, issue 5 (2017)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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On growth of systole along congruence coverings of Hilbert modular varieties

Plinio G P Murillo

Algebraic & Geometric Topology 17 (2017) 2753–2762

DOI: 10.2140/agt.2017.17.2753

Bibliography

1	A F Beardon, The geometry of discrete groups, 91, Springer (1995) MR1393195
2	P Buser, P Sarnak, On the period matrix of a Riemann surface of large genus, Invent. Math. 117 (1994) 27 MR1269424
3	E Freitag, Hilbert modular forms, Springer (1990) MR1050763
4	M Gromov, Systoles and intersystolic inequalities, from: "Actes de la Table Ronde de Géométrie Différentielle" (editor A L Besse), Sémin. Congr. 1, Soc. Math. France (1996) 291 MR1427763
5	L Guth, A Lubotzky, Quantum error correcting codes and 4–dimensional arithmetic hyperbolic manifolds, J. Math. Phys. 55 (2014) MR3390717
6	M G Katz, M Schaps, U Vishne, Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups, J. Differential Geom. 76 (2007) 399 MR2331526
7	D W Morris, Introduction to arithmetic groups, Deductive Press (2015) MR3307755
8	V Platonov, A Rapinchuk, Algebraic groups and number theory, 139, Academic Press (1994) MR1278263