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math.AG2021★ 1 cited
Toric and tropical Bertini theorems in positive characteristic
Francesca Gandini, Milena Hering, Diane Maclagan +4
We generalize the toric Bertini theorem of Fuchs, Mantova, and Zannier to positive characteristic. A key part of the proof is a new algebraically closed field containing the field…
math.AG2021★ 1 cited
Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties
Laura Escobar, Alex Fink, Jenna Rajchgot +1
We study a class of combinatorially-defined polynomial ideals which are generated by minors of a generic symmetric matrix. Included within this class are the symmetric determinanta…