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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

1 vote

Noether normalisation over $\mathbf{Z}$

you can consult the paper Corrigendum to “Noether Normalization theorem and dynamical Gröbner bases over Bezout domains of Krull dimension 1” [J. Algebra 492 (15) (2017) 52-56] by Maroua Gamanda and I …
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-3 votes

Algebraic machinery for algebraic geometry

I would recommend the new book "Computational Commutative Algebra and Algebraic Geometry: Course and exercises with detailed solutions" https://www.amazon.com/dp/1096374447?ref_=pe_3052080_397514860