Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Cléry, Fabien"'
Autor:
Bergström, Jonas, Cléry, Fabien
Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level two structure, together with a computation of Euler characteristics we find the isotypical decomposition, under the symmetric group on 6
Externí odkaz:
http://arxiv.org/abs/2309.04388
Autor:
Cléry, Fabien, van der Geer, Gerard
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while
Externí odkaz:
http://arxiv.org/abs/2211.05611
Autor:
Cléry, Fabien, van der Geer, Gerard
We use the description of the Picard modular surface for discriminant $-3$ as a moduli space of curves of genus $3$ to generate all vector-valued Picard modular forms from bi-covariants for the action of ${GL}_2$ on the space of pairs of binary forms
Externí odkaz:
http://arxiv.org/abs/2110.00849
Autor:
Cléry, Fabien, van der Geer, Gerard
We describe the ring of modular forms of degree 2 in characteristic 2 using its relation with curves of genus 2.
Comment: 12 pages. Slight changes. To appear in IMRN
Comment: 12 pages. Slight changes. To appear in IMRN
Externí odkaz:
http://arxiv.org/abs/2003.00249
We show how one can use the representation theory of ternary quartics to construct all vector-valued Siegel modular forms and Teichm\"uller modular forms of degree 3. The relation between the order of vanishing of a concomitant on the locus of double
Externí odkaz:
http://arxiv.org/abs/1908.04248
Autor:
Cléry, Fabien, Ferapontov, Evgeny V.
Equations of dispersionless Hirota type have been thoroughly investigated in the mathematical physics and differential geometry literature. It is known that the parameter space of integrable Hirota type equations in 3D is 21-dimensional and the actio
Externí odkaz:
http://arxiv.org/abs/1804.07724
Publikováno v:
Math. Comp. 88 (2019), no. 319, 2423--2441
We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 with character, over the ring of scalar-valued Siegel modular forms of even weight. For a modular form defined
Externí odkaz:
http://arxiv.org/abs/1803.05624
Autor:
Cléry, Fabien, van der Geer, Gerard
We formulate a conjecture that describes the vector-valued Siegel modular forms of degree 2 and level 2 of weight Sym^j det^2 and provide some evidence for it. We construct such modular forms of weight (j,2) via covariants of binary sextics and calcu
Externí odkaz:
http://arxiv.org/abs/1709.01748
Autor:
Cléry, Fabien1 (AUTHOR), van der Geer, Gerard2 (AUTHOR) g.b.m.vandergeer@uva.nl
Publikováno v:
Research in Number Theory. 5/7/2023, Vol. 9 Issue 2, p1-10. 10p.
Publikováno v:
Math. Ann. 369 (2017), no. 3--4, 1649--1669
We extend Igusa's description of the relation between invariants of binary sextics and Siegel modular forms of degree two to a relation between covariants and vector-valued Siegel modular forms of degree two. We show how this relation can be used to
Externí odkaz:
http://arxiv.org/abs/1606.07014