Actions on the Picard group of smooth Fano threefolds

Abstract We classify the possible images of the action of the group of automorphisms of a smooth Fano threefold on its Picard group. We also study the first group cohomology of the Picard group for families of smooth Fano threefolds.

Authors

Publication Details

Journal
European Journal of Mathematics
Published
2026-11-03
DOI
https://doi.org/10.1007/s40879-026-00938-w
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Actions on the Picard group of smooth Fano threefolds

Shreya Sharma
European Journal of Mathematics
Algebraic Geometry and Number Theory
article

Actions on the Picard group of smooth Fano threefolds

Shreya Sharma
article en

Abstract

Abstract We classify the possible images of the action of the group of automorphisms of a smooth Fano threefold on its Picard group. We also study the first group cohomology of the Picard group for families of smooth Fano threefolds.

European Journal of MathematicsVol. 12(4)
Openalex Percentile: Top 89%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Actions on the Picard group of smooth Fano threefolds — Shreya Sharma · European Journal of Mathematics (2026) | TGRS Research Map | TGRS