Newbetuts
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New posts in algebraic-geometry
Exact definition of algebraic set
algebraic-geometry
solution-verification
Geometric interpretation of different types of field extensions?
algebraic-geometry
field-theory
extension-field
splitting-field
Problem in Rick Miranda: finding genus of a projective curve
algebraic-geometry
intrinsic proof that the grassmannian is a manifold
algebraic-geometry
differential-geometry
manifolds
grassmannian
Global sections of the line bundle $\mathcal{O}(D)$
algebraic-geometry
Learning Roadmap for Borel - Weil - Bott Theorem
algebraic-geometry
reference-request
representation-theory
lie-groups
What does $\mathrm{Spec}(\mathbb{Z})\times_{\mathrm{Spec}(\mathbb{F}_{1})}\mathrm{Spec}(\mathbb{Z})$ look like?
abstract-algebra
algebraic-geometry
semigroups
monoid
Tensor product of injective ring homomorphisms
algebraic-geometry
commutative-algebra
examples-counterexamples
affine-schemes
Quotient of a Lie algebra by a subalgebra - what is it?
algebraic-geometry
representation-theory
lie-algebras
algebraic-groups
homogeneous-spaces
What is the significance of the quotient $m/m^2$?
algebraic-geometry
commutative-algebra
modules
ideals
Elementary question about Cayley Hamilton theorem and Zariski topology
algebraic-geometry
Is the pushforward of the sheaf of differentials on an elliptic curve over a scheme necessarily trivial?
algebraic-geometry
elliptic-curves
Intuitively, what is the height of a point on an abelian variety?
algebraic-geometry
elliptic-curves
arithmetic-geometry
Constant morphism between projective varieties
algebraic-geometry
projective-space
Projective closure of an algebraic curve as a compactification of Riemann surface
complex-analysis
algebraic-geometry
riemann-surfaces
Does the category of locally ringed spaces have products?
algebraic-geometry
ringed-spaces
Is there a notion of "schemeification" analogous to that of sheafification of a presheaf?
algebraic-geometry
category-theory
adjoint-functors
affine-schemes
ringed-spaces
Non-isomorphic locally ringed spaces which represent isomorphic functors $\mathsf{CommRing} \to \mathsf{Set}$.
algebraic-geometry
representable-functor
ringed-spaces
Minimize ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$ s.t. $\mathbf{X}^T\mathbf{X}=\mathbf{I}$
calculus
linear-algebra
algebraic-geometry
optimization
matrix-calculus
Is the projective closure of a smooth variety still smooth?
algebraic-geometry
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