Results 31 to 40 of about 537 (64)

THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2015
We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups
TYLER LAWSON
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Complex Hyperbolic Surfaces of Abelian Type [PDF]

, 2004
2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ...
Holzapfel, R.
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Likely intersections

Forum of Mathematics, Sigma
We prove a general likely intersections theorem, a counterpart to the Zilber-Pink conjectures, under the assumption that the Ax-Schanuel property and some mild additional conditions are known to hold for a given category of complex quotient spaces ...
Sebastian Eterović, Thomas Scanlon
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Kodaira–Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace

Forum of Mathematics, Sigma
We consider integral models of Hilbert modular varieties with Iwahori level structure at primes over p, first proving a Kodaira–Spencer isomorphism that gives a concise description of their dualizing sheaves. We then analyze fibres of the degeneracy maps
Fred Diamond
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Arithmetic Transfer for inner forms of $GL_{2n}$

Forum of Mathematics, Sigma
We formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .
Qirui Li, Andreas Mihatsch
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Deformation theory for prismatic G-displays

Forum of Mathematics, Sigma
For a smooth affine group scheme G over the ring of p-adic integers and a cocharacter $\mu $ of G, we develop the deformation theory for G- $\mu $ -displays over the prismatic site of Bhatt–Scholze, and discuss how our deformation theory can ...
Kazuhiro Ito
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Tax Projections and the Budget: Lessons from the 1980s [PDF]

Some economists have argued that the disincentive effects of marginal tax rate increases in the 1980s caused revenue to rise by less than had been anticipated. To evaluate the hypothesis, this paper considers OMB revenue forecasts and forecast errors for
Alan J. Auerbach
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New examples of modular rigid Calabi-Yau threefolds

, 2004
This paper presents five new examples of modular rigid Calabi-Yau threefolds arising from the modular elliptic surface of level 6. Explicit correspondences to newforms of weight 4 and level 10, 17, 21, and 73 are given.Comment: 9 pages; journal-ref ...
Schuett, Matthias
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p-adic Borel extension for local Shimura varieties

Forum of Mathematics, Sigma
We show that the moduli spaces of Scholze’s p-adic shtukas with framing satisfy a p-adic rigid analytic version of Borel’s extension theorem. In particular, this holds for local Shimura varieties, for all local Shimura data $(G, [b],\{\mu ...
Abhishek Oswal, Georgios Pappas
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An explicit Andr\'e-Oort type result for P^1(C) x G_m(C)

, 2014
Using class field theory we prove an explicit result of Andr\'e-Oort type for $\mathbb{P}^1(\mathbb{C}) \times \mathbb{G}_m(\mathbb{C})$. In this variation the special points of $\mathbb{P}^1(\mathbb{C})$ are the singular moduli, while the special points
Paulin, Roland
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