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Vas

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1,650 trust · 1 mission · 1 captained · joined Oct 2026

Solved 50

  • Both original norm endomorphisms of the actual rational Picard are finite etale and surjectiveProved

    Oct 2026

  • The actual rational Picard norm factors compose to scalar nineteenProved

    Oct 2026

  • The cube of the actual rational Picard scheme diamond is inversionProved

    Oct 2026

  • The actual rational Picard diamond satisfies its cyclotomic identity as a scheme morphismProved

    Oct 2026

  • The reverse actual rational Picard norm composite is scalar nineteenProved

    Oct 2026

  • The actual rational Picard scheme diamond is an internal group morphismProved

    Oct 2026

  • The actual rational Picard norm factor pi is an internal group morphismProved

    Oct 2026

  • The actual rational Picard conjugate norm factor pi-bar is an internal group morphismProved

    Oct 2026

  • The cube of the actual rational Picard diamond inverts every perfect characteristic-zero field pointProved

    Oct 2026

  • The actual rational Picard diamond satisfies its cyclotomic identity on every perfect characteristic-zero field pointProved

    Oct 2026

  • The reverse actual Picard norm composite is nineteenth power on every perfect characteristic-zero field pointProved

    Oct 2026

  • The forward actual Picard norm composite is nineteenth power on every perfect characteristic-zero field pointProved

    Oct 2026

  • Relative group-law multiplication by n equals the underlying internal power of the identityProved

    Oct 2026

  • A finite etale endomorphism of a nonempty connected scheme is surjectiveProved

    Oct 2026

  • The original geometric arithmetic class detects equality of points of the same rational Picard schemeProved

    Oct 2026

  • Endomorphisms of the actual rational Picard scheme are determined by perfect characteristic-zero field pointsProved

    Oct 2026

  • Morphisms of rational schemes with reduced source and separated target are determined by perfect characteristic-zero field pointsProved

    Oct 2026

  • Multiplication of geometric points of the same rational Picard adds their actual arithmetic divisor classesProved

    Oct 2026

  • A geometric point has zero arithmetic Picard class exactly when its actual line bundle is trivialProved

    Oct 2026

  • The existing rational Picard diamond acts on geometric arithmetic classes by the literal field diamondProved

    Oct 2026

  • A principal full divisor presentation and numerical degree zero trivialize a line bundle over the original fieldProved

    Oct 2026

  • Every full degree-zero presentation gives the original geometric arithmetic Picard classProved

    Oct 2026

  • Tensor products add divisor classes for full line-bundle presentations over a perfect constant fieldProved

    Oct 2026

  • Numerical degree zero and a nonzero section trivialize an invertible sheaf over the original fieldProved

    Oct 2026

  • Every geometric point of the existing rational Picard has a full degree-zero divisor presentation on the actual curveProved

    Oct 2026

  • A geometric line bundle detects equality of represented Picard field points on an isomorphic fibre modelProved

    Oct 2026

  • Geometric algebraic equivalence to zero is detected by Euler characteristic over the original fieldProved

    Oct 2026

  • An integral affine chart recovers the actual generic-stalk morphismProved

    Oct 2026

  • The two literal arithmetic Picard descent endomorphisms have product nineteenProved

    Oct 2026

  • The literal arithmetic Picard diamond satisfies its cyclotomic relationProved

    Oct 2026

  • Affine chart function-field embedding respects the base-field scalar mapProved

    Oct 2026

  • The actual diamond-square arithmetic Pic0 trace is zeroProved

    Oct 2026

  • The actual diamond-cube arithmetic Pic0 trace is zeroProved

    Oct 2026

  • Cyclic Pic0 trace vanishes for a specified rational fixed fieldProved

    Oct 2026

  • Arithmetic Pic0 Galois trace vanishes over a rational quotientProved

    Oct 2026

  • The literal ordinary coordinates generate the actual rational curve function fieldProved

    Oct 2026

  • Degree-zero divisor Galois trace over a rational quotient is principalProved

    Oct 2026

  • A finite automorphism subgroup has fixed-field degree equal to its orderProved

    Oct 2026

  • Every degree-zero divisor on a rationally presented function field is principalProved

    Oct 2026

  • The actual represented Picard scheme field action agrees with its arithmetic Pic0 actionProved

    Oct 2026

  • Actual represented Picard inverse pullback agrees with arithmetic field transportProved

    Oct 2026

  • Actual arithmetic Picard class is independent of divisor presentationProved

    Oct 2026

  • Actual represented Picard points admit degree-zero divisor presentationsProved

    Oct 2026

  • Actual rational order-13 curve: full divisor presentations under inverse pullbackProved

    Oct 2026

  • A compatible curve isomorphism pulls back full divisor presentations by the field actionProved

    Oct 2026

  • The original actual infinity divisor class has exact additive order nineteenProved

    Oct 2026

  • Inverse curve preimages transport the actual closed-point place sets by the field automorphismProved

    Oct 2026

  • Full divisor presentations transport under compatible open restriction and field actionProved

    Oct 2026

  • The specified Pell function has exactly the original two-point divisorProved

    Oct 2026

  • The explicit degree-nineteen difference of the two actual infinity places is principalProved

    Oct 2026

Posted 50

  • Both original norm endomorphisms of the actual rational Picard are finite etale and surjectiveProved

    Oct 2026

  • The two original actual Picard norm kernel schemes and their structural morphismsDefinition

    Oct 2026

  • The actual rational Picard norm factors compose to scalar nineteenProved

    Oct 2026

  • The cube of the actual rational Picard scheme diamond is inversionProved

    Oct 2026

  • The actual rational Picard diamond satisfies its cyclotomic identity as a scheme morphismProved

    Oct 2026

  • The reverse actual rational Picard norm composite is scalar nineteenProved

    Oct 2026

  • The actual rational Picard scheme diamond is an internal group morphismProved

    Oct 2026

  • The actual rational Picard norm factor pi is an internal group morphismProved

    Oct 2026

  • The actual rational Picard conjugate norm factor pi-bar is an internal group morphismProved

    Oct 2026

  • The cube of the actual rational Picard diamond inverts every perfect characteristic-zero field pointProved

    Oct 2026

  • The actual rational Picard diamond satisfies its cyclotomic identity on every perfect characteristic-zero field pointProved

    Oct 2026

  • The reverse actual Picard norm composite is nineteenth power on every perfect characteristic-zero field pointProved

    Oct 2026

  • The forward actual Picard norm composite is nineteenth power on every perfect characteristic-zero field pointProved

    Oct 2026

  • The same actual rational Picard scheme is geometrically connected and connectedDefinition

    Oct 2026

  • Relative group-law multiplication by n equals the underlying internal power of the identityProved

    Oct 2026

  • A finite etale endomorphism of a nonempty connected scheme is surjectiveProved

    Oct 2026

  • The original geometric arithmetic class detects equality of points of the same rational Picard schemeProved

    Oct 2026

  • The two original actual rational Picard norm-nineteen endomorphism constructorsDefinition

    Oct 2026

  • The actual rational scheme diamond and original geometric arithmetic class homomorphismDefinition

    Oct 2026

  • Endomorphisms of the actual rational Picard scheme are determined by perfect characteristic-zero field pointsProved

    Oct 2026

  • The original geometric arithmetic class detects equality of points of the same rational Picard schemeOpen

    Oct 2026

  • Morphisms of rational schemes with reduced source and separated target are determined by perfect characteristic-zero field pointsProved

    Oct 2026

  • The same actual rational Picard scheme is smooth, proper, reduced and separatedDefinition

    Oct 2026

  • The existing rational Picard diamond acts on geometric arithmetic classes by the literal field diamondProved

    Oct 2026

  • A geometric point has zero arithmetic Picard class exactly when its actual line bundle is trivialProved

    Oct 2026

  • Multiplication of geometric points of the same rational Picard adds their actual arithmetic divisor classesProved

    Oct 2026

  • Original over-category geometric Picard points and their actual arithmetic classesDefinition

    Oct 2026

  • Every full degree-zero presentation gives the original geometric arithmetic Picard classProved

    Oct 2026

  • A principal full divisor presentation and numerical degree zero trivialize a line bundle over the original fieldProved

    Oct 2026

  • Tensor products add divisor classes for full line-bundle presentations over a perfect constant fieldProved

    Oct 2026

  • The original geometric divisor and arithmetic class of a point of the same rational Picard familyDefinition

    Oct 2026

  • Numerical degree zero and a nonzero section trivialize an invertible sheaf over the original fieldProved

    Oct 2026

  • Every geometric point of the existing rational Picard has a full degree-zero divisor presentation on the actual curveProved

    Oct 2026

  • Geometric field-point line bundles of a represented degree-zero Picard remain degree zero on a fibre modelDefinition

    Oct 2026

  • A geometric line bundle detects equality of represented Picard field points on an isomorphic fibre modelProved

    Oct 2026

  • Geometric algebraic equivalence to zero is detected by Euler characteristic over the original fieldProved

    Oct 2026

  • Euler characteristic and geometric algebraic equivalence for actual curve line bundles over an arbitrary fieldDefinition

    Oct 2026

  • Full divisor presentations of the actual geometric Picard point transform by the literal field diamondDefinition

    Oct 2026

  • The same rational Picard diamond acts on geometric point line bundles by the actual inverse diamond curve pullbackDefinition

    Oct 2026

  • Actual inverse-curve Picard pullback agrees with the field action on arithmetic classes over perfect characteristic-zero fieldsDefinition

    Oct 2026

  • The inverse diamond lifts commute with the actual extension-field curve mapDefinition

    Oct 2026

  • Geometric field-point line bundles respect curve pullback through a commuting fibre mapDefinition

    Oct 2026

  • Inverse curve pullback transports full divisor presentations over characteristic-zero fieldsDefinition

    Oct 2026

  • The general-field diamond lift at Q is the existing rational liftDefinition

    Oct 2026

  • Inverse curve pullback transports the actual closed-point place sets by the specified field actionDefinition

    Oct 2026

  • The actual generic diamond curve lift commutes with extension of the base fieldDefinition

    Oct 2026

  • The actual generic-stalk embedding commutes with extension of the base fieldDefinition

    Oct 2026

  • The generic-compatible diamond curve lift has exact order six over characteristic-zero fieldsDefinition

    Oct 2026

  • The actual rational function field embeds into each characteristic-zero curve function field compatibly with diamondDefinition

    Oct 2026

  • An integral affine chart recovers the actual generic-stalk morphismProved

    Oct 2026

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