List questions from algebraic-geometry

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Is every $\mathcal{O}_X$-module homomorphism $\mathcal{O}_X^{\oplus n} \to \mathcal{O}_X^{\oplus m}$ given by a matrix?

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Reference for Algebraic Groups in Ergodic Theory

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question about gradation of a ring

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Polynomial vanishing on $\mathbb{A}^2$

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Notation in the Semicontinuity Theorem

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cohomology ring of grassmannian

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Grothendieck Riemann Roch, universal bundle on $SU_C(2,L)$

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Are regular functions locally constant?

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Co-domain of a sheaf

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Computing the Length of a finite length module.

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Exercise 3.20 in Hartshorne on dimension of integral schemes of finite type over a field.

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Integral point on certain cubic surfaces and rational parametric solutions

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Some questions about Hartshorne chapter 2 proposition 2.6

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T//W for adjoint type group PGL3

Is every $\mathcal{O}_X$-module homomorphism $\mathcal{O}_X^{\oplus n} \to \mathcal{O}_X^{\oplus m}$ given by a matrix?

Reference for Algebraic Groups in Ergodic Theory

question about gradation of a ring

Polynomial vanishing on $\mathbb{A}^2$

Notation in the Semicontinuity Theorem

cohomology ring of grassmannian

Grothendieck Riemann Roch, universal bundle on $SU_C(2,L)$

Are regular functions locally constant?

Co-domain of a sheaf

Computing the Length of a finite length module.

Two equivalent definitions of GIT semistable points

Exercise 3.20 in Hartshorne on dimension of integral schemes of finite type over a field.

Integral point on certain cubic surfaces and rational parametric solutions

Some questions about Hartshorne chapter 2 proposition 2.6

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