New posts in algebraic-geometry

Exact definition of algebraic set

Geometric interpretation of different types of field extensions?

Problem in Rick Miranda: finding genus of a projective curve

intrinsic proof that the grassmannian is a manifold

Global sections of the line bundle $\mathcal{O}(D)$

Learning Roadmap for Borel - Weil - Bott Theorem

What does $\mathrm{Spec}(\mathbb{Z})\times_{\mathrm{Spec}(\mathbb{F}_{1})}\mathrm{Spec}(\mathbb{Z})$ look like?

Tensor product of injective ring homomorphisms

Quotient of a Lie algebra by a subalgebra - what is it?

What is the significance of the quotient $m/m^2$?

Elementary question about Cayley Hamilton theorem and Zariski topology

Is the pushforward of the sheaf of differentials on an elliptic curve over a scheme necessarily trivial?

Intuitively, what is the height of a point on an abelian variety?

Constant morphism between projective varieties

Projective closure of an algebraic curve as a compactification of Riemann surface

Does the category of locally ringed spaces have products?

Is there a notion of "schemeification" analogous to that of sheafification of a presheaf?

Non-isomorphic locally ringed spaces which represent isomorphic functors $\mathsf{CommRing} \to \mathsf{Set}$.

Minimize ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$ s.t. $\mathbf{X}^T\mathbf{X}=\mathbf{I}$

Is the projective closure of a smooth variety still smooth?