NDLI: Rank 3 rigid representations of projective fundamental groups

Content Provider	Scilit
Author	Langer, Adrian Simpson, Carlos
Copyright Year	2018
Description	Journal: Compositio Mathematica Let $X$ be a smooth complex projective variety with basepoint $x$ . We prove that every rigid integral irreducible representation $\unicode[STIX]{x1D70B}_{1}(X\!,x)\rightarrow \operatorname{SL}(3,\mathbb{C})$ is of geometric origin, i.e., it comes from some family of smooth projective varieties. This partially generalizes an earlier result by Corlette and the second author in the rank 2 case and answers one of their questions.
Ending Page	1570
Starting Page	1534
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x18007182
Journal	Compositio Mathematica
Issue Number	7
Volume Number	154
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2018-07-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Fundamental Groups Rigid Integral Smooth Complex Projective Fundamental Second Author Rigid Representations Partially Generalizes
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Rank 3 rigid representations of projective fundamental groups