UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
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DOI: 10.1017/fms.2017.26
Abstract: Let $p$ be a prime number and $F$ a totally real number field. For each prime $\mathfrak{p}$ of $F$ above $p$ we construct a Hecke operator $T_{\mathfrak{p}}$ acting on $(\text{mod}\,p^{m})$ Katz Hilbert modular classes which… read more here.
Keywords: unramifiedness galois; arising hilbert; galois representations; hilbert modular ... See more keywords
Mahler measures of elliptic modular surfaces
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DOI: 10.1090/tran/7524
Abstract: In this article we develop a new method for relating Mahler measures of three-variable polynomials that define elliptic modular surfaces to L-values of modular forms. Using an idea of Deninger, we express the Mahler measure… read more here.
Keywords: mahler measures; measures elliptic; modular surfaces; mahler ... See more keywords