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html: html:* g5"N cmbx12MINIMALٚCANONICALDIMENSIONS kOFٚQUADRA TICF ORMS pK`y
cmr10NIKIT*AUUA.KARPENKO `$ -
cmcsc10Abstract.\`CanonicaldimensionofasmoGothcompleteconnectedvqarietyistheminimal $ dimension+of,imageofitsrationalendomorphism.6The
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cmmi10i-thcanonicaldimensionofanon-$ degenerateWquadraticformisthecanonicaldimensionofitsi-thorthogonalgrassmannian.$ Thexmaximumxofacanonicaldimensionforquadraticformsofaxeddimensionisknown$ to@bGe?equaltothedimensionofthecorrespGondinggrassmannian.ThisarticleisabGout$ theminimaofthecanonicaldimensionsofananisotropicquadraticform.OW*econjecture$ thatMtheyequalthecanonicaldimensionsNofanexcellentanisotropicquadraticformof$ theUUsamedimensionandweproveitinawiderangecases. Ƌ html: html: