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Mathematics
Mathematics bibliography
Algebra and number theory bibliography
2026-11-05
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Commutative-algebra
passages:
§10.6, Definition 10.6.1: finite type and finite presentation
and
§10.31, Lemmas 10.31.1 and 10.31.4: the Noetherian hypotheses that turn finite generation into finite presentation
.
The finite
coefficient
-
subalgebra
proof of the
Artin-Tate lemma
is
Lemma 10.51.7, tag 00IS
.
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Algebra and number theory bibliography
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Ample line bundle
Artin-Tate lemma
Cartier divisor
Closedness of projection from projective space
Cohomological proof of Riemann-Roch for curves
Density of the smooth locus
Dimension from minimum tangent dimension
Finitely generated algebra
Finite presentation of an algebra
Five lemma
Global generation of positive twists on a smooth curve
Homogeneous coordinate ring
Intersection multiplicity
Intersection theory
Local ring of a smooth algebraic curve
Picard scheme of a curve
Prime Weil divisor
Projective space
Ramification divisor
Regular in codimension one
Relative Proj construction
Singular locus
Singular point of an algebraic variety
Smooth algebraic curve
Smooth locus of a variety
Stein factorization
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