Theta operators on Siegel modular forms and Galois representations

Ghitza, Alexandru; McAndrew, Angus

doi:10.48550/arxiv.1601.01835

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This decomposition will be used to construct various theta operators. Under preparing this paper the author realized that Max Flander and Ghitza-McAndrew have studied similar operators for mod p Siegel modular forms of general degree (see [18], [24]). As the author has been expected, some of results in this paper have been generalized in [24].…”

Section: Introductionmentioning

confidence: 99%

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$

Yamauchi¹

2014

Preprint

View full text Add to dashboard Cite

In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree 2 toward studying Serre's conjecture for GSp4. We first construct various theta operators on the space of such forms a la Katz and define the theta cycles for the specific theta operators. Secondly we study the partial Hasse invariants on each Ekedahl-Oort stratum and their local behaviors. This enables us to obtain a kind of weight reduction theorem for mod p Siegel modular forms of degree 2 without increasing the level.

show abstract

Section: Introductionmentioning

confidence: 99%

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$

Yamauchi¹

2014

Preprint

View full text Add to dashboard Cite

show abstract

Theta operators on Siegel modular forms and Galois representations

Cited by 1 publication

References 0 publications

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$

Contact Info

Product

Resources

About