Geodesic
Linear maps preserving matrix discriminant
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVII, Tome 534 (2024), pp. 147-194

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Let $\mathbb F$ be an infinite field, $\mathcal{M}_n(\mathbb F)$ be the space of all $n\times n$ matrices over $\mathbb F$. The paper provides a characterization of all the linear maps on $\mathcal{M}_n$ that preserve matrix discriminant. The Pierce result on these maps is improved. 
@article{ZNSL_2024_534_a6,
     author = {A. Yurkov},
     title = {Linear maps preserving matrix discriminant},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {147--194},
     publisher = {mathdoc},
     volume = {534},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_534_a6/}
}
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A. Yurkov. Linear maps preserving matrix discriminant. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVII, Tome 534 (2024), pp. 147-194. http://geodesic.mathdoc.fr/item/ZNSL_2024_534_a6/