Aspects of Enumerative Geometry with Quadratic Forms

By M. Levine. Documenta Mathematica, 2017

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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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2072d41406cb338d6cbe725c3135dda74984045c