“SerresTwistingTheorem”的概念、定义、习题解题方法及翻译-数学辞典

单词	SerresTwistingTheorem
释义	Serre’s twisting theorem Let $X$ be a scheme, and $\\mathfrak{L}$ an ample invertible sheaf on $X$ . Then for any coherent sheaf $\\mathcal{F}$ , and sufficiently large $n$ , $H^{i}(\\mathcal{F}\\otimes\\mathfrak{L}^{n})=0$ , that is, the higher sheaf cohomology of $\\mathcal{F}\\otimes\\mathfrak{L}^{n}$ is trivial.
随便看	every algebraically closed field is perfect EveryBoundedSequenceHasLimitAlongAnUltrafilter every bounded sequence has limit along an ultrafilter EveryCongruenceIsTheKernelOfAHomomorphism every congruence is the kernel of a homomorphism EveryepsilonautomatonIsEquivalentToAnAutomaton EveryEvenIntegerGreaterThan46IsTheSumOfTwoAbundantNumbers every even integer greater than 46 is the sum of two abundant numbers EveryEvenIntegerGreaterThan70IsTheSumOfTwoAbundantNumbersInMoreThanOneWay every even integer greater than 70 is the sum of two abundant numbers in more than one way EveryFilterIsContainedInAnUltrafilter every filter is contained in an ultrafilter EveryFiniteDimensionalNormedVectorSpaceIsABanachSpace every finite dimensional normed vector space is a Banach space EveryFiniteDimensionalSubspaceOfANormedSpaceIsClosed every finite dimensional subspace of a normed space is closed EveryHilbertSpaceHasAnOrthonormalBasis every Hilbert space has an orthonormal basis EveryLocallyIntegrableFunctionIsADistribution every locally integrable function is a distribution EveryMapIntoSphereWhichIsNotOntoIsNullhomotopic every map into sphere which is not onto is nullhomotopic EveryNetHasAUniversalSubnet every net has a universal subnet EveryNormedSpaceWithSchauderBasisIsSeparable

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Serre’s twisting theorem