NDLI: Minimal weights of Hilbert modular forms in characteristic

Content Provider	Scilit
Author	Diamond, Fred Irvin Kassaei, Payman L.
Copyright Year	2017
Description	Journal: Compositio Mathematica We consider mod $p$ Hilbert modular forms associated to a totally real field of degree $d$ in which $p$ is unramified. We prove that every such form arises by multiplication by partial Hasse invariants from one whose weight (a $d$-tuple of integers) lies in a certain cone contained in the set of non-negative weights, answering a question of Andreatta and Goren. The proof is based on properties of the Goren–Oort stratification on mod $p$ Hilbert modular varieties established by Goren and Oort, and Tian and Xiao.
Ending Page	1778
Starting Page	1769
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x17007230
Journal	Compositio Mathematica
Issue Number	9
Volume Number	153
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2017-06-13
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Modular Forms Hilbert Modular
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Minimal weights of Hilbert modular forms in characteristic