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Aspects of enumerative geometry with quadratic forms

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arxiv 1703.03049 v7 pith:NVRKU767 submitted 2017-03-08 math.AG

Marc Levine This is my paper · ORCID
classification math.AG
keywords aspectsclassicalenumerativeformsformulasgeometryquadraticbase-field
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We develop various aspects of classical enumerative geometry, including Euler characteristics and formulas for counting degenerate fibres in a pencil, with the classical numerical formulas being replaced by identitites in the Grothendieck-Witt group of quadratic forms with coefficients in the base-field.

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  1. The unit map of the algebraic special linear cobordism spectrum

    math.KT 2019-08 accept novelty 6.0 of 10

    Over characteristic 0 fields, the unit map from the motivic sphere spectrum to the special linear cobordism spectrum MSL is an isomorphism on homotopy modules, proven by comparing framed and SL-oriented framed corresp...

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