There has been a clear decline in the volume of oxygen in Earth's atmosphere over the past
20 years. Although the magnitude of this decrease appears small compared to the amount of …

We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …

arXiv:2002.06845v2 [math.NT] 11 Sep 2022 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …

It is probably fair to say that all known results on special values of L-functions of motives over
number fields are proved by identifying the L-function in question, more or less explicitly …

p-ADIC L-FUNCTIONS FOR UNITARY GROUPS Page 1 Forum of Mathematics, Pi (2020), Vol. 8,
e9, 160 pages doi:10.1017/fmp.2020.4 1 p-ADIC L-FUNCTIONS FOR UNITARY GROUPS …

Higher coherent cohomology andp-adic modular forms of singular weights Page 1 HIGHER
COHERENT COHOMOLOGY AND p-ADIC MODULAR FORMS OF SINGULAR WEIGHTS V …

Using explicit identifications between algebraic and analytic theta functions, we compare the
algebraic constructions of toroidal compactifications by Faltings–Chai and the author, with …

Soit Γ= Gal (Q/Q). Le but de ce travail est d'établir, sous un certain nombre d'hypotheses,
que les représentations galoisiennes ρ: Γ→ GSp4 (Zp) congruesa une représentation …

Under the assumption that Galois representations associated to Siegel modular forms exist
(it is known only for genus at most 2), we show that the cohomology with p-adic integral …

Let K be an imaginary quadratic field. Let and be irreducible generic cohomological
automorphic representation of GL (n)/K and GL (n− 1)/K, respectively. Each of them can be …