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Why is the Levi-decomposition not available in positive characteristic?

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#linear-algebra #lie-algebras #positive-characteristic
133
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why do matrices in orthogonal group have determinant 1 in characteristic 2?

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#group-theory #orthogonality #linear-groups #positive-characteristic
102
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Castelnuovo's contractibility criterion in $\text{char}(k)>0$?

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#algebraic-geometry #surfaces #positive-characteristic
44
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Surjective proper cover by ordinary varieties

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#algebraic-geometry #abelian-varieties #positive-characteristic
45
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Prove an element not belonging to the tight closure of an ideal

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#commutative-algebra #ideals #positive-characteristic
170
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General position theorem for curves: do we use characteristic zero in this proof?

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#algebraic-geometry #curves #positive-characteristic
83
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Proof verification of the theorem that integral domains have either $0$ or prime characteristic

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#abstract-algebra #ring-theory #positive-characteristic
179
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Algebraic Peter-Weyl in positive characteristic

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#algebraic-geometry #representation-theory #algebraic-groups #positive-characteristic #reductive-groups
206
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Regularity vs smoothness in positive characteristic

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#algebraic-geometry #schemes #positive-characteristic #regular-rings
374
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Example of ring can’t be defined over finite field.

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#abstract-algebra #ring-theory #finite-fields #positive-characteristic
91
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Monogenic function fields

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#algebraic-number-theory #function-fields #positive-characteristic
131
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Why supposing that $\operatorname{char}(F) \neq 2$?

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#linear-algebra #abstract-algebra #ring-theory #bilinear-form #positive-characteristic
239
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Over any field, if some polynomials are algebraically dependent, are their derivatives linearly dependent?

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#polynomials #field-theory #jacobian #positive-characteristic #algebraic-independence
383
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Irreducible polynomial in field of positive characteristic

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#polynomials #ring-theory #finite-fields #irreducible-polynomials #positive-characteristic
290
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The Hasse invariant at cuspidal elliptic curves in a generically ordinary family

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry #positive-characteristic

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